121936667328000 has 2560 divisors, whose sum is σ = 522120867840000. Its totient is φ = 27478816358400.

The previous prime is 121936667327953. The next prime is 121936667328017. The reversal of 121936667328000 is 823766639121.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 430871615859 + ... + 430871616141.

It is an arithmetic number, because the mean of its divisors is an integer number (203953464000).

Almost surely, 2^{121936667328000} is an apocalyptic number.

121936667328000 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 121936667328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261060433920000).

121936667328000 is an abundant number, since it is smaller than the sum of its proper divisors (400184200512000).

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

121936667328000 is a wasteful number, since it uses less digits than its factorization.

121936667328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 121936667328000 in words is "one hundred twenty-one trillion, nine hundred thirty-six billion, six hundred sixty-seven million, three hundred twenty-eight thousand".