121625387520 has 1280 divisors, whose sum is σ = 525656355840. Its totient is φ = 23253221376.

The previous prime is 121625387509. The next prime is 121625387531. The reversal of 121625387520 is 25783526121.

It is an interprime number because it is at equal distance from previous prime (121625387509) and next prime (121625387531).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 344547664 + ... + 344548016.

It is an arithmetic number, because the mean of its divisors is an integer number (410669028).

Almost surely, 2^121625387520 is an apocalyptic number.

121625387520 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 121625387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262828177920).

121625387520 is an abundant number, since it is smaller than the sum of its proper divisors (404030968320).

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

121625387520 is a wasteful number, since it uses less digits than its factorization.

121625387520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 121625387520 in words is "one hundred twenty-one billion, six hundred twenty-five million, three hundred eighty-seven thousand, five hundred twenty".