126900229632 has 320 divisors, whose sum is σ = 388088160768. Its totient is φ = 36495360000.

The previous prime is 126900229627. The next prime is 126900229637. The reversal of 126900229632 is 236922009621.

It is an interprime number because it is at equal distance from previous prime (126900229627) and next prime (126900229637).

It is a super-2 number, since 2×126900229632² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126900229637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25628757 + ... + 25633707.

Almost surely, 2^126900229632 is an apocalyptic number.

126900229632 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 126900229632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194044080384).

126900229632 is an abundant number, since it is smaller than the sum of its proper divisors (261187931136).

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

126900229632 is a wasteful number, since it uses less digits than its factorization.

126900229632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 126900229632 in words is "one hundred twenty-six billion, nine hundred million, two hundred twenty-nine thousand, six hundred thirty-two".