12462813132 has 192 divisors, whose sum is σ = 37755583488. Its totient is φ = 3105792000.

The previous prime is 12462813049. The next prime is 12462813137. The reversal of 12462813132 is 23131826421.

It is a super-2 number, since 2×12462813132² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 12462813093 and 12462813102.

It is not an unprimeable number, because it can be changed into a prime (12462813137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2308228 + ... + 2313620.

It is an arithmetic number, because the mean of its divisors is an integer number (196643664).

Almost surely, 2^12462813132 is an apocalyptic number.

12462813132 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 12462813132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18877791744).

12462813132 is an abundant number, since it is smaller than the sum of its proper divisors (25292770356).

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

12462813132 is a wasteful number, since it uses less digits than its factorization.

12462813132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520 (or 5518 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

It can be divided in two parts, 1246 and 2813132, that added together give a triangular number (2814378 = T₂₃₇₂).

The spelling of 12462813132 in words is "twelve billion, four hundred sixty-two million, eight hundred thirteen thousand, one hundred thirty-two".