121038456825132 has 384 divisors, whose sum is σ = 363527377920000. Its totient is φ = 31069889706240.

The previous prime is 121038456825101. The next prime is 121038456825137. The reversal of 121038456825132 is 231528654830121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (121038456825137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2029829094 + ... + 2029888722.

It is an arithmetic number, because the mean of its divisors is an integer number (946685880000).

Almost surely, 2^{121038456825132} is an apocalyptic number.

121038456825132 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 121038456825132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181763688960000).

121038456825132 is an abundant number, since it is smaller than the sum of its proper divisors (242488921094868).

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

121038456825132 is a wasteful number, since it uses less digits than its factorization.

121038456825132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60194 (or 60178 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 121038456825132 in words is "one hundred twenty-one trillion, thirty-eight billion, four hundred fifty-six million, eight hundred twenty-five thousand, one hundred thirty-two".