121375085040 has 800 divisors, whose sum is σ = 483018370560. Its totient is φ = 27975628800.

The previous prime is 121375085033. The next prime is 121375085063. The reversal of 121375085040 is 40580573121.

121375085040 is a `hidden beast` number, since 12 + 137 + 5 + 0 + 8 + 504 + 0 = 666.

It is a super-2 number, since 2×121375085040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121375084986 and 121375085004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 146765107 + ... + 146765933.

Almost surely, 2^121375085040 is an apocalyptic number.

121375085040 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 121375085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241509185280).

121375085040 is an abundant number, since it is smaller than the sum of its proper divisors (361643285520).

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

121375085040 is a wasteful number, since it uses less digits than its factorization.

121375085040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 121375085040 in words is "one hundred twenty-one billion, three hundred seventy-five million, eighty-five thousand, forty".