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1021212121120 = 255191233143419
BaseRepresentation
bin11101101110001001111…
…11000101100000100000
310121121221000202211022121
432313010333011200200
5113212420300333440
62101045515514024
7133531405543522
oct16670477054040
93547830684277
101021212121120
1136410368a504
12145b01a58914
13753b8b1cab9
14375d96d5a12
151b86db1434a
hexedc4fc5820

1021212121120 has 96 divisors (see below), whose sum is σ = 2435670881280. Its totient is φ = 404599388160.

The previous prime is 1021212121079. The next prime is 1021212121141. The reversal of 1021212121120 is 211212121201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1021212121094 and 1021212121103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7048771 + ... + 7192189.

It is an arithmetic number, because the mean of its divisors is an integer number (25371571680).

Almost surely, 21021212121120 is an apocalyptic number.

1021212121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021212121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217835440640).

1021212121120 is an abundant number, since it is smaller than the sum of its proper divisors (1414458760160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1021212121120 is a wasteful number, since it uses less digits than its factorization.

1021212121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143858 (or 143850 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1021212121120 its reverse (211212121201), we get a palindrome (1232424242321).

The spelling of 1021212121120 in words is "one trillion, twenty-one billion, two hundred twelve million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 191 233 382 466 764 932 955 1165 1528 1864 1910 2330 3056 3728 3820 4660 6112 7456 7640 9320 15280 18640 30560 37280 44503 89006 143419 178012 222515 286838 356024 445030 573676 712048 717095 890060 1147352 1424096 1434190 1780120 2294704 2868380 3560240 4589408 5736760 7120480 11473520 22947040 27393029 33416627 54786058 66833254 109572116 133666508 136965145 167083135 219144232 267333016 273930290 334166270 438288464 534666032 547860580 668332540 876576928 1069332064 1095721160 1336665080 2191442320 2673330160 4382884640 5346660320 6382575757 12765151514 25530303028 31912878785 51060606056 63825757570 102121212112 127651515140 204242424224 255303030280 510606060560 1021212121120