32120012131200 has 576 divisors, whose sum is σ = 131183350290720. Its totient is φ = 7330579660800.

The previous prime is 32120012131199. The next prime is 32120012131217. The reversal of 32120012131200 is 213121002123.

32120012131200 is a `hidden beast` number, since 32 + 1 + 200 + 121 + 312 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133137082 + ... + 133378118.

Almost surely, 2^{32120012131200} is an apocalyptic number.

32120012131200 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 32120012131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65591675145360).

32120012131200 is an abundant number, since it is smaller than the sum of its proper divisors (99063338159520).

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

32120012131200 is a wasteful number, since it uses less digits than its factorization.

32120012131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241735 (or 241715 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32120012131200 its reverse (213121002123), we get a palindrome (32333133133323).

The spelling of 32120012131200 in words is "thirty-two trillion, one hundred twenty billion, twelve million, one hundred thirty-one thousand, two hundred".