121264831260 has 324 divisors, whose sum is σ = 394281663048. Its totient is φ = 30162824064.

The previous prime is 121264831223. The next prime is 121264831267. The reversal of 121264831260 is 62138462121.

It is a happy number.

121264831260 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 648 + 3 + 1 + 2 + 6 + 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 not an unprimeable number, because it can be changed into a prime (121264831267) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 743955939 + ... + 743956101.

Almost surely, 2^121264831260 is an apocalyptic number.

121264831260 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 121264831260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197140831524).

121264831260 is an abundant number, since it is smaller than the sum of its proper divisors (273016831788).

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

121264831260 is a wasteful number, since it uses less digits than its factorization.

121264831260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 121264831260 in words is "one hundred twenty-one billion, two hundred sixty-four million, eight hundred thirty-one thousand, two hundred sixty".