121613469120 has 896 divisors, whose sum is σ = 507312046080. Its totient is φ = 27037532160.

The previous prime is 121613469091. The next prime is 121613469137. The reversal of 121613469120 is 21964316121.

It is a happy number.

121613469120 is a `hidden beast` number, since 1 + 21 + 613 + 4 + 6 + 9 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 317528449 + ... + 317528831.

It is an arithmetic number, because the mean of its divisors is an integer number (566196480).

Almost surely, 2^121613469120 is an apocalyptic number.

121613469120 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 121613469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253656023040).

121613469120 is an abundant number, since it is smaller than the sum of its proper divisors (385698576960).

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

121613469120 is a wasteful number, since it uses less digits than its factorization.

121613469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 121613469120 in words is "one hundred twenty-one billion, six hundred thirteen million, four hundred sixty-nine thousand, one hundred twenty".