121883627520 has 624 divisors, whose sum is σ = 443078318592. Its totient is φ = 30953963520.

The previous prime is 121883627483. The next prime is 121883627563. The reversal of 121883627520 is 25726388121.

121883627520 is a `hidden beast` number, since 1 + 2 + 18 + 8 + 3 + 627 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474255232 + ... + 474255488.

It is an arithmetic number, because the mean of its divisors is an integer number (710061408).

Almost surely, 2^121883627520 is an apocalyptic number.

121883627520 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 121883627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221539159296).

121883627520 is an abundant number, since it is smaller than the sum of its proper divisors (321194691072).

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

121883627520 is a wasteful number, since it uses less digits than its factorization.

121883627520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 121883627520 in words is "one hundred twenty-one billion, eight hundred eighty-three million, six hundred twenty-seven thousand, five hundred twenty".