126211061088 has 480 divisors, whose sum is σ = 450777628224. Its totient is φ = 33817264128.

The previous prime is 126211061069. The next prime is 126211061101. The reversal of 126211061088 is 880160112621.

126211061088 is a `hidden beast` number, since 1 + 2 + 6 + 21 + 10 + 610 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 115050556 + ... + 115051652.

Almost surely, 2^126211061088 is an apocalyptic number.

126211061088 is a gapful number since it is divisible by the number (18) 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 126211061088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225388814112).

126211061088 is an abundant number, since it is smaller than the sum of its proper divisors (324566567136).

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

126211061088 is a wasteful number, since it uses less digits than its factorization.

126211061088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 126211061088 in words is "one hundred twenty-six billion, two hundred eleven million, sixty-one thousand, eighty-eight".