126211334400 has 162 divisors, whose sum is σ = 451234211610. Its totient is φ = 33656340480.

The previous prime is 126211334387. The next prime is 126211334401. The reversal of 126211334400 is 4433112621.

It is a happy number.

126211334400 is a `hidden beast` number, since 1 + 2 + 6 + 211 + 3 + 3 + 440 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28987105536 + 97224228864 = 170256^2 + 311808^2 .

It is not an unprimeable number, because it can be changed into a prime (126211334401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1037985 + ... + 1153184.

Almost surely, 2^126211334400 is an apocalyptic number.

126211334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126211334400 is an abundant number, since it is smaller than the sum of its proper divisors (325022877210).

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

126211334400 is a wasteful number, since it uses less digits than its factorization.

126211334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191201 (or 2191179 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 126211334400 in words is "one hundred twenty-six billion, two hundred eleven million, three hundred thirty-four thousand, four hundred".