121731934270800 has 720 divisors, whose sum is σ = 464297999311872. Its totient is φ = 27169404595200.

The previous prime is 121731934270673. The next prime is 121731934270801. The reversal of 121731934270800 is 8072439137121.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121731934270800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121731934270801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14682414655 + ... + 14682422945.

Almost surely, 2^{121731934270800} is an apocalyptic number.

121731934270800 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 121731934270800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232148999655936).

121731934270800 is an abundant number, since it is smaller than the sum of its proper divisors (342566065041072).

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

121731934270800 is a wasteful number, since it uses less digits than its factorization.

121731934270800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14176 (or 14158 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 121731934270800 in words is "one hundred twenty-one trillion, seven hundred thirty-one billion, nine hundred thirty-four million, two hundred seventy thousand, eight hundred".