121306442400 has 2160 divisors, whose sum is σ = 560458815840. Its totient is φ = 25231564800.

The previous prime is 121306442393. The next prime is 121306442407. The reversal of 121306442400 is 4244603121.

It is a happy number.

121306442400 is a `hidden beast` number, since 1 + 2 + 13 + 0 + 644 + 2 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121306442393) and next prime (121306442407).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121306442407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2288800774 + ... + 2288800826.

It is an arithmetic number, because the mean of its divisors is an integer number (259471674).

Almost surely, 2^121306442400 is an apocalyptic number.

121306442400 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 121306442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280229407920).

121306442400 is an abundant number, since it is smaller than the sum of its proper divisors (439152373440).

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

121306442400 is a wasteful number, since it uses less digits than its factorization.

121306442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 121306442400 in words is "one hundred twenty-one billion, three hundred six million, four hundred forty-two thousand, four hundred".