121700689104384 has 1440 divisors, whose sum is σ = 407189747188224. Its totient is φ = 36244948746240.

The previous prime is 121700689104383. The next prime is 121700689104487. The reversal of 121700689104384 is 483401986007121.

121700689104384 is a `hidden beast` number, since 1 + 2 + 170 + 0 + 6 + 8 + 91 + 0 + 4 + 384 = 666.

It is a super-2 number, since 2×121700689104384² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 121700689104384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121700689104383) 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, 241949679877 + ... + 241949680379.

Almost surely, 2^{121700689104384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121700689104384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203594873594112).

121700689104384 is an abundant number, since it is smaller than the sum of its proper divisors (285489058083840).

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

121700689104384 is an equidigital number, since it uses as much as digits as its factorization.

121700689104384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 121700689104384 in words is "one hundred twenty-one trillion, seven hundred billion, six hundred eighty-nine million, one hundred four thousand, three hundred eighty-four".