121457574336 has 448 divisors, whose sum is σ = 386345558016. Its totient is φ = 32959180800.

The previous prime is 121457574299. The next prime is 121457574367. The reversal of 121457574336 is 633475754121.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 461815741 + ... + 461816003.

Almost surely, 2^121457574336 is an apocalyptic number.

121457574336 is a gapful number since it is divisible by the number (16) 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 121457574336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193172779008).

121457574336 is an abundant number, since it is smaller than the sum of its proper divisors (264887983680).

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

121457574336 is a wasteful number, since it uses less digits than its factorization.

121457574336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 48.

The spelling of 121457574336 in words is "one hundred twenty-one billion, four hundred fifty-seven million, five hundred seventy-four thousand, three hundred thirty-six".