121042307232000 has 2880 divisors, whose sum is σ = 573089675558400. Its totient is φ = 25149616128000.

The previous prime is 121042307231999. The next prime is 121042307232019. The reversal of 121042307232000 is 232703240121.

121042307232000 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 423 + 0 + 7 + 232 + 0 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9779609812 + ... + 9779622188.

It is an arithmetic number, because the mean of its divisors is an integer number (198989470680).

Almost surely, 2^{121042307232000} is an apocalyptic number.

121042307232000 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 121042307232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286544837779200).

121042307232000 is an abundant number, since it is smaller than the sum of its proper divisors (452047368326400).

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

121042307232000 is an equidigital number, since it uses as much as digits as its factorization.

121042307232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12452 (or 12405 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 121042307232000 in words is "one hundred twenty-one trillion, forty-two billion, three hundred seven million, two hundred thirty-two thousand".