121525963392 has 128 divisors (see below), whose sum is σ = 324311040000. Its totient is φ = 40320011264.

The previous prime is 121525963379. The next prime is 121525963399. The reversal of 121525963392 is 293369525121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (121525963399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110177113 + ... + 110178215.

It is an arithmetic number, because the mean of its divisors is an integer number (2533680000).

Almost surely, 2^121525963392 is an apocalyptic number.

121525963392 is a gapful number since it is divisible by the number (12) 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 121525963392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162155520000).

121525963392 is an abundant number, since it is smaller than the sum of its proper divisors (202785076608).

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

121525963392 is a wasteful number, since it uses less digits than its factorization.

121525963392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2186 counting only the distinct ones).

The product of its digits is 874800, while the sum is 48.

The spelling of 121525963392 in words is "one hundred twenty-one billion, five hundred twenty-five million, nine hundred sixty-three thousand, three hundred ninety-two".