32000413124100 has 288 divisors, whose sum is σ = 97872461761536. Its totient is φ = 8061203404800.

The previous prime is 32000413124063. The next prime is 32000413124137. The reversal of 32000413124100 is 142131400023.

It is an interprime number because it is at equal distance from previous prime (32000413124063) and next prime (32000413124137).

It is a super-2 number, since 2×32000413124100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96936522 + ... + 97266078.

It is an arithmetic number, because the mean of its divisors is an integer number (339834936672).

Almost surely, 2^{32000413124100} is an apocalyptic number.

32000413124100 is a gapful number since it is divisible by the number (30) 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 32000413124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48936230880768).

32000413124100 is an abundant number, since it is smaller than the sum of its proper divisors (65872048637436).

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

32000413124100 is a wasteful number, since it uses less digits than its factorization.

32000413124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329855 (or 329848 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 32000413124100 its reverse (142131400023), we get a palindrome (32142544524123).

The spelling of 32000413124100 in words is "thirty-two trillion, four hundred thirteen million, one hundred twenty-four thousand, one hundred".