121226961960 has 640 divisors, whose sum is σ = 456062745600. Its totient is φ = 28680376320.

The previous prime is 121226961913. The next prime is 121226962049. The reversal of 121226961960 is 69169622121.

121226961960 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 26 + 9 + 619 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 296398236 + ... + 296398644.

It is an arithmetic number, because the mean of its divisors is an integer number (712598040).

Almost surely, 2^121226961960 is an apocalyptic number.

121226961960 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 121226961960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228031372800).

121226961960 is an abundant number, since it is smaller than the sum of its proper divisors (334835783640).

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

121226961960 is a wasteful number, since it uses less digits than its factorization.

121226961960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 121226961960 in words is "one hundred twenty-one billion, two hundred twenty-six million, nine hundred sixty-one thousand, nine hundred sixty".