126436631412 has 576 divisors, whose sum is σ = 407296512000. Its totient is φ = 29747367936.

The previous prime is 126436631401. The next prime is 126436631413. The reversal of 126436631412 is 214136634621.

It is a super-2 number, since 2×126436631412² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126436631413) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 552124914 + ... + 552125142.

It is an arithmetic number, because the mean of its divisors is an integer number (707112000).

Almost surely, 2^126436631412 is an apocalyptic number.

126436631412 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 126436631412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203648256000).

126436631412 is an abundant number, since it is smaller than the sum of its proper divisors (280859880588).

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

126436631412 is a wasteful number, since it uses less digits than its factorization.

126436631412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 385 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The spelling of 126436631412 in words is "one hundred twenty-six billion, four hundred thirty-six million, six hundred thirty-one thousand, four hundred twelve".