121246744320 has 576 divisors, whose sum is σ = 465914265600. Its totient is φ = 29680680960.

The previous prime is 121246744319. The next prime is 121246744321. The reversal of 121246744320 is 23447642121.

121246744320 is a `hidden beast` number, since 1 + 21 + 246 + 74 + 4 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (121246744319) and next prime (121246744321).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121246744321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94797441 + ... + 94798719.

Almost surely, 2^121246744320 is an apocalyptic number.

121246744320 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 121246744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232957132800).

121246744320 is an abundant number, since it is smaller than the sum of its proper divisors (344667521280).

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

121246744320 is a wasteful number, since it uses less digits than its factorization.

121246744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 121246744320 in words is "one hundred twenty-one billion, two hundred forty-six million, seven hundred forty-four thousand, three hundred twenty".