121433700960 has 1536 divisors, whose sum is σ = 547211427840. Its totient is φ = 24684134400.

The previous prime is 121433700953. The next prime is 121433700989. The reversal of 121433700960 is 69007334121.

It is a super-2 number, since 2×121433700960² (a number of 23 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 325559334 + ... + 325559706.

It is an arithmetic number, because the mean of its divisors is an integer number (356257440).

Almost surely, 2^121433700960 is an apocalyptic number.

121433700960 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 121433700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273605713920).

121433700960 is an abundant number, since it is smaller than the sum of its proper divisors (425777726880).

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

121433700960 is a wasteful number, since it uses less digits than its factorization.

121433700960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 121433700960 in words is "one hundred twenty-one billion, four hundred thirty-three million, seven hundred thousand, nine hundred sixty".