12121126378400 has 144 divisors (see below), whose sum is σ = 31868953256448. Its totient is φ = 4475205504000.

The previous prime is 12121126378363. The next prime is 12121126378421. The reversal of 12121126378400 is 487362112121.

It is a happy number.

It is a super-2 number, since 2×12121126378400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229928045 + ... + 229980755.

It is an arithmetic number, because the mean of its divisors is an integer number (221312175392).

Almost surely, 2^{12121126378400} is an apocalyptic number.

12121126378400 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 12121126378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15934476628224).

12121126378400 is an abundant number, since it is smaller than the sum of its proper divisors (19747826878048).

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

12121126378400 is a wasteful number, since it uses less digits than its factorization.

12121126378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74855 (or 74842 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 12121126378400 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-six million, three hundred seventy-eight thousand, four hundred".