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121322070 = 2335641701
BaseRepresentation
bin1110011101100…
…11101001010110
322110021210121000
413032303221112
5222024301240
620012204130
73002135442
oct716635126
9273253530
10121322070
1162535081
1234769646
131c19a90c
1412181822
15a9b7430
hex73b3a56

121322070 has 64 divisors (see below), whose sum is σ = 324492480. Its totient is φ = 32256000.

The previous prime is 121322063. The next prime is 121322077. The reversal of 121322070 is 70223121.

It is an interprime number because it is at equal distance from previous prime (121322063) and next prime (121322077).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121322077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172720 + ... + 173420.

It is an arithmetic number, because the mean of its divisors is an integer number (5070195).

Almost surely, 2121322070 is an apocalyptic number.

121322070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121322070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162246240).

121322070 is an abundant number, since it is smaller than the sum of its proper divisors (203170410).

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

121322070 is a wasteful number, since it uses less digits than its factorization.

121322070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 121322070 is about 11014.6298167483. The cubic root of 121322070 is about 495.0471947655.

Adding to 121322070 its reverse (70223121), we get a palindrome (191545191).

The spelling of 121322070 in words is "one hundred twenty-one million, three hundred twenty-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 641 701 1282 1402 1923 2103 3205 3505 3846 4206 5769 6309 6410 7010 9615 10515 11538 12618 17307 18927 19230 21030 28845 31545 34614 37854 57690 63090 86535 94635 173070 189270 449341 898682 1348023 2246705 2696046 4044069 4493410 6740115 8088138 12132207 13480230 20220345 24264414 40440690 60661035 121322070