121907131136 has 144 divisors (see below), whose sum is σ = 286246175040. Its totient is φ = 50721914880.

The previous prime is 121907131117. The next prime is 121907131153. The reversal of 121907131136 is 631131709121.

It is a happy number.

It is a super-2 number, since 2×121907131136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121907131096 and 121907131105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34542620 + ... + 34546148.

It is an arithmetic number, because the mean of its divisors is an integer number (1987820660).

Almost surely, 2^121907131136 is an apocalyptic number.

121907131136 is a gapful number since it is divisible by the number (16) 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 121907131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143123087520).

121907131136 is an abundant number, since it is smaller than the sum of its proper divisors (164339043904).

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

121907131136 is an equidigital number, since it uses as much as digits as its factorization.

121907131136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 35.

The spelling of 121907131136 in words is "one hundred twenty-one billion, nine hundred seven million, one hundred thirty-one thousand, one hundred thirty-six".