121349102400 has 168 divisors, whose sum is σ = 442362579840. Its totient is φ = 32359749120.

The previous prime is 121349102393. The next prime is 121349102401. The reversal of 121349102400 is 4201943121.

It is a happy number.

121349102400 is a `hidden beast` number, since 1 + 213 + 49 + 1 + 0 + 2 + 400 = 666.

It is a super-3 number, since 3×121349102400³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121349102401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1361304 + ... + 1447703.

Almost surely, 2^121349102400 is an apocalyptic number.

121349102400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121349102400 is an abundant number, since it is smaller than the sum of its proper divisors (321013477440).

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

121349102400 is a wasteful number, since it uses less digits than its factorization.

121349102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809038 (or 2809017 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 121349102400 in words is "one hundred twenty-one billion, three hundred forty-nine million, one hundred two thousand, four hundred".