2132264622312 has 288 divisors, whose sum is σ = 6729482672640. Its totient is φ = 608394758400.

The previous prime is 2132264622289. The next prime is 2132264622401.

2132264622312 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 2 + 646 + 2 + 2 + 3 + 1 + 2 = 666.

2132264622312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 9885973 + ... + 10099355.

It is an arithmetic number, because the mean of its divisors is an integer number (23366259280).

Almost surely, 2^{2132264622312} is an apocalyptic number.

2132264622312 is a gapful number since it is divisible by the number (22) 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 2132264622312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364741336320).

2132264622312 is an abundant number, since it is smaller than the sum of its proper divisors (4597218050328).

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

2132264622312 is a wasteful number, since it uses less digits than its factorization.

2132264622312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213485 (or 213467 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 2132264622312 in words is "two trillion, one hundred thirty-two billion, two hundred sixty-four million, six hundred twenty-two thousand, three hundred twelve".