10121239656000 has 2688 divisors, whose sum is σ = 44654029056000. Its totient is φ = 2241727488000.

The previous prime is 10121239655987. The next prime is 10121239656037. The reversal of 10121239656000 is 65693212101.

10121239656000 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 2 + 3 + 96 + 560 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11782583571 + ... + 11782584429.

It is an arithmetic number, because the mean of its divisors is an integer number (16612362000).

Almost surely, 2^{10121239656000} is an apocalyptic number.

10121239656000 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 10121239656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22327014528000).

10121239656000 is an abundant number, since it is smaller than the sum of its proper divisors (34532789400000).

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

10121239656000 is a wasteful number, since it uses less digits than its factorization.

10121239656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10121239656000 in words is "ten trillion, one hundred twenty-one billion, two hundred thirty-nine million, six hundred fifty-six thousand".