121142090160 has 1440 divisors, whose sum is σ = 547663613952. Its totient is φ = 24208865280.

The previous prime is 121142090149. The next prime is 121142090161. The reversal of 121142090160 is 61090241121.

It is a super-3 number, since 3×121142090160³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121142090161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2577491257 + ... + 2577491303.

Almost surely, 2^121142090160 is an apocalyptic number.

121142090160 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 121142090160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273831806976).

121142090160 is an abundant number, since it is smaller than the sum of its proper divisors (426521523792).

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

121142090160 is a wasteful number, since it uses less digits than its factorization.

121142090160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 121142090160 in words is "one hundred twenty-one billion, one hundred forty-two million, ninety thousand, one hundred sixty".