121362560140800 has 1440 divisors, whose sum is σ = 463397013192960. Its totient is φ = 27923996672000.

The previous prime is 121362560140763. The next prime is 121362560140867. The reversal of 121362560140800 is 8041065263121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13999598866 + ... + 13999607534.

It is an arithmetic number, because the mean of its divisors is an integer number (321803481384).

Almost surely, 2^{121362560140800} is an apocalyptic number.

121362560140800 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 121362560140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231698506596480).

121362560140800 is an abundant number, since it is smaller than the sum of its proper divisors (342034453052160).

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

121362560140800 is a wasteful number, since it uses less digits than its factorization.

121362560140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8876 (or 8844 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 121362560140800 in words is "one hundred twenty-one trillion, three hundred sixty-two billion, five hundred sixty million, one hundred forty thousand, eight hundred".