10132212312 has 96 divisors (see below), whose sum is σ = 28332046080. Its totient is φ = 3268753920.

The previous prime is 10132212253. The next prime is 10132212319. The reversal of 10132212312 is 21321223101.

10132212312 is a `hidden beast` number, since 10 + 132 + 212 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132212319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498868 + ... + 518780.

It is an arithmetic number, because the mean of its divisors is an integer number (295125480).

Almost surely, 2^10132212312 is an apocalyptic number.

10132212312 is a gapful number since it is divisible by the number (12) 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 10132212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14166023040).

10132212312 is an abundant number, since it is smaller than the sum of its proper divisors (18199833768).

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

10132212312 is a wasteful number, since it uses less digits than its factorization.

10132212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20153 (or 20146 counting only the distinct ones).

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

Adding to 10132212312 its reverse (21321223101), we get a palindrome (31453435413).

The spelling of 10132212312 in words is "ten billion, one hundred thirty-two million, two hundred twelve thousand, three hundred twelve".