121426905600 has 2520 divisors, whose sum is σ = 608947444512. Its totient is φ = 23290675200.

The previous prime is 121426905599. The next prime is 121426905619. The reversal of 121426905600 is 6509624121.

121426905600 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 2 + 6 + 90 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×121426905600² (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 251 ways as a sum of consecutive naturals, for example, 9340531194 + ... + 9340531206.

Almost surely, 2^121426905600 is an apocalyptic number.

121426905600 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 121426905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304473722256).

121426905600 is an abundant number, since it is smaller than the sum of its proper divisors (487520538912).

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

121426905600 is an equidigital number, since it uses as much as digits as its factorization.

121426905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 121426905600 in words is "one hundred twenty-one billion, four hundred twenty-six million, nine hundred five thousand, six hundred".