121712984445600 has 1008 divisors, whose sum is σ = 447916802349240. Its totient is φ = 32280875827200.

The previous prime is 121712984445599. The next prime is 121712984445631. The reversal of 121712984445600 is 6544489217121.

121712984445600 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 1 + 29 + 8 + 4 + 4 + 4 + 5 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1994636483856 + 119718347961744 = 1412316^2 + 10941588^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 120627337896 + ... + 120627338904.

Almost surely, 2^{121712984445600} is an apocalyptic number.

121712984445600 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 121712984445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223958401174620).

121712984445600 is an abundant number, since it is smaller than the sum of its proper divisors (326203817903640).

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

121712984445600 is a wasteful number, since it uses less digits than its factorization.

121712984445600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 121712984445600 in words is "one hundred twenty-one trillion, seven hundred twelve billion, nine hundred eighty-four million, four hundred forty-five thousand, six hundred".