126309829932 has 432 divisors, whose sum is σ = 402960186720. Its totient is φ = 33022218240.

The previous prime is 126309829931. The next prime is 126309829969. The reversal of 126309829932 is 239928903621.

126309829932 is a `hidden beast` number, since 1 + 263 + 0 + 98 + 299 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (126309829931) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 172318638 + ... + 172319370.

It is an arithmetic number, because the mean of its divisors is an integer number (932778210).

Almost surely, 2^126309829932 is an apocalyptic number.

126309829932 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 126309829932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201480093360).

126309829932 is an abundant number, since it is smaller than the sum of its proper divisors (276650356788).

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

126309829932 is a wasteful number, since it uses less digits than its factorization.

126309829932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 126309829932 in words is "one hundred twenty-six billion, three hundred nine million, eight hundred twenty-nine thousand, nine hundred thirty-two".