39121837929972 has 288 divisors, whose sum is σ = 120607326508032. Its totient is φ = 10437695935488.

The previous prime is 39121837929877. The next prime is 39121837930003. The reversal of 39121837929972 is 27992973812193.

39121837929972 is a `hidden beast` number, since 3 + 9 + 121 + 83 + 79 + 299 + 72 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 39121837929972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 409849683 + ... + 409945125.

It is an arithmetic number, because the mean of its divisors is an integer number (418775439264).

Almost surely, 2^{39121837929972} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39121837929972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60303663254016).

39121837929972 is an abundant number, since it is smaller than the sum of its proper divisors (81485488578060).

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

39121837929972 is a wasteful number, since it uses less digits than its factorization.

39121837929972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96227 (or 96222 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 72.

The spelling of 39121837929972 in words is "thirty-nine trillion, one hundred twenty-one billion, eight hundred thirty-seven million, nine hundred twenty-nine thousand, nine hundred seventy-two".