32413121412000 has 192 divisors, whose sum is σ = 121354726881024. Its totient is φ = 7408713446400.

The previous prime is 32413121411989. The next prime is 32413121412043. The reversal of 32413121412000 is 21412131423.

It is a super-2 number, since 2×32413121412000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192851247 + ... + 193019246.

It is an arithmetic number, because the mean of its divisors is an integer number (632055869172).

Almost surely, 2^{32413121412000} is an apocalyptic number.

32413121412000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32413121412000 is an abundant number, since it is smaller than the sum of its proper divisors (88941605469024).

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

32413121412000 is a wasteful number, since it uses less digits than its factorization.

32413121412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385870528 (or 385870510 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 32413121412000 its reverse (21412131423), we get a palindrome (32434533543423).

The spelling of 32413121412000 in words is "thirty-two trillion, four hundred thirteen billion, one hundred twenty-one million, four hundred twelve thousand".