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1202220211120 = 245131123792737
BaseRepresentation
bin10001011111101001111…
…010001001101110110000
311020221010210102112001221
4101133221322021232300
5124144121333223440
62320143051234424
7152600065120525
oct21375172115660
94227123375057
101202220211120
11423949a70615
12174bb9148a14
13894a45748b6
144228b34714c
1521414a9ad4a
hex117e9e89bb0

1202220211120 has 80 divisors (see below), whose sum is σ = 2818806379488. Its totient is φ = 476826255360.

The previous prime is 1202220211091. The next prime is 1202220211141. The reversal of 1202220211120 is 211120222021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 1202220211094 and 1202220211103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12917392 + ... + 13010128.

Almost surely, 21202220211120 is an apocalyptic number.

1202220211120 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 1202220211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409403189744).

1202220211120 is an abundant number, since it is smaller than the sum of its proper divisors (1616586168368).

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

1202220211120 is a wasteful number, since it uses less digits than its factorization.

1202220211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94118 (or 94112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1202220211120 its reverse (211120222021), we get a palindrome (1413340433141).

The spelling of 1202220211120 in words is "one trillion, two hundred two billion, two hundred twenty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1237 1310 2096 2474 2620 4948 5240 6185 9896 10480 12370 19792 24740 49480 92737 98960 162047 185474 324094 370948 463685 648188 741896 810235 927370 1296376 1483792 1620470 1854740 2592752 3240940 3709480 6481880 7418960 12148547 12963760 24297094 48594188 60742735 97188376 114715669 121485470 194376752 229431338 242970940 458862676 485941880 573578345 917725352 971883760 1147156690 1835450704 2294313380 4588626760 9177253520 15027752639 30055505278 60111010556 75138763195 120222021112 150277526390 240444042224 300555052780 601110105560 1202220211120