121090985136 has 360 divisors, whose sum is σ = 400090017600. Its totient is φ = 33811914240.

The previous prime is 121090985131. The next prime is 121090985153. The reversal of 121090985136 is 631589090121.

121090985136 is a `hidden beast` number, since 121 + 0 + 9 + 0 + 9 + 8 + 513 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 121090985091 and 121090985100.

It is not an unprimeable number, because it can be changed into a prime (121090985131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41199955 + ... + 41202893.

It is an arithmetic number, because the mean of its divisors is an integer number (1111361160).

Almost surely, 2^121090985136 is an apocalyptic number.

121090985136 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 121090985136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200045008800).

121090985136 is an abundant number, since it is smaller than the sum of its proper divisors (278999032464).

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

121090985136 is a wasteful number, since it uses less digits than its factorization.

121090985136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 121090985136 in words is "one hundred twenty-one billion, ninety million, nine hundred eighty-five thousand, one hundred thirty-six".