121972942899360 has 3072 divisors, whose sum is σ = 542905638912000. Its totient is φ = 25465782730752.

The previous prime is 121972942899347. The next prime is 121972942899461. The reversal of 121972942899360 is 63998249279121.

121972942899360 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 72 + 94 + 28 + 99 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 137511772837 + ... + 137511773723.

It is an arithmetic number, because the mean of its divisors is an integer number (176727096000).

Almost surely, 2^{121972942899360} is an apocalyptic number.

121972942899360 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 121972942899360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271452819456000).

121972942899360 is an abundant number, since it is smaller than the sum of its proper divisors (420932696012640).

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

121972942899360 is a wasteful number, since it uses less digits than its factorization.

121972942899360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 121972942899360 in words is "one hundred twenty-one trillion, nine hundred seventy-two billion, nine hundred forty-two million, eight hundred ninety-nine thousand, three hundred sixty".