121926634283520 has 2880 divisors, whose sum is σ = 514932513638400. Its totient is φ = 27369409904640.

The previous prime is 121926634283479. The next prime is 121926634283537. The reversal of 121926634283520 is 25382436629121.

121926634283520 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 2 + 6 + 6 + 34 + 2 + 83 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×121926634283520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 164988679311 + ... + 164988680049.

It is an arithmetic number, because the mean of its divisors is an integer number (178796011680).

Almost surely, 2^{121926634283520} is an apocalyptic number.

121926634283520 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 121926634283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257466256819200).

121926634283520 is an abundant number, since it is smaller than the sum of its proper divisors (393005879354880).

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

121926634283520 is an frugal number, since it uses more digits than its factorization.

121926634283520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 121926634283520 in words is "one hundred twenty-one trillion, nine hundred twenty-six billion, six hundred thirty-four million, two hundred eighty-three thousand, five hundred twenty".