10132212312000 has 672 divisors, whose sum is σ = 37420966462464. Its totient is φ = 2615003136000.

The previous prime is 10132212311959. The next prime is 10132212312017. The reversal of 10132212312000 is 21321223101.

10132212312000 is a `hidden beast` number, since 1 + 0 + 13 + 221 + 231 + 200 + 0 = 666.

10132212312000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 508814044 + ... + 508833956.

Almost surely, 2^{10132212312000} is an apocalyptic number.

10132212312000 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 10132212312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18710483231232).

10132212312000 is an abundant number, since it is smaller than the sum of its proper divisors (27288754150464).

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

10132212312000 is a wasteful number, since it uses less digits than its factorization.

10132212312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20174 (or 20151 counting only the distinct ones).

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

Adding to 10132212312000 its reverse (21321223101), we get a palindrome (10153533535101).

The spelling of 10132212312000 in words is "ten trillion, one hundred thirty-two billion, two hundred twelve million, three hundred twelve thousand".