121386425400 has 288 divisors, whose sum is σ = 425551557600. Its totient is φ = 30977510400.

The previous prime is 121386425383. The next prime is 121386425401. The reversal of 121386425400 is 4524683121.

It is a happy number.

121386425400 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 8 + 642 + 5 + 4 + 0 + 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 (121386425401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4047661 + ... + 4077539.

It is an arithmetic number, because the mean of its divisors is an integer number (1477609575).

Almost surely, 2^121386425400 is an apocalyptic number.

121386425400 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 121386425400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212775778800).

121386425400 is an abundant number, since it is smaller than the sum of its proper divisors (304165132200).

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

121386425400 is a wasteful number, since it uses less digits than its factorization.

121386425400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29999 (or 29987 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 121386425400 in words is "one hundred twenty-one billion, three hundred eighty-six million, four hundred twenty-five thousand, four hundred".