121416257600 has 336 divisors, whose sum is σ = 346653794880. Its totient is φ = 41366323200.

The previous prime is 121416257569. The next prime is 121416257639. The reversal of 121416257600 is 6752614121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76893611 + ... + 76895189.

Almost surely, 2^121416257600 is an apocalyptic number.

121416257600 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 121416257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173326897440).

121416257600 is an abundant number, since it is smaller than the sum of its proper divisors (225237537280).

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

121416257600 is a wasteful number, since it uses less digits than its factorization.

121416257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 121416257600 in words is "one hundred twenty-one billion, four hundred sixteen million, two hundred fifty-seven thousand, six hundred".