312201021132 has 576 divisors, whose sum is σ = 1114966315008. Its totient is φ = 71041536000.

The previous prime is 312201021113. The next prime is 312201021149. The reversal of 312201021132 is 231120102213.

312201021132 is a `hidden beast` number, since 312 + 201 + 0 + 21 + 132 = 666.

It is a super-2 number, since 2×312201021132² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54663757 + ... + 54669467.

It is an arithmetic number, because the mean of its divisors is an integer number (1935705408).

Almost surely, 2^312201021132 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 312201021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557483157504).

312201021132 is an abundant number, since it is smaller than the sum of its proper divisors (802765293876).

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

312201021132 is a wasteful number, since it uses less digits than its factorization.

312201021132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5825 counting only the distinct ones).

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

Adding to 312201021132 its reverse (231120102213), we get a palindrome (543321123345).

The spelling of 312201021132 in words is "three hundred twelve billion, two hundred one million, twenty-one thousand, one hundred thirty-two".