126322211488 has 192 divisors, whose sum is σ = 292556759040. Its totient is φ = 53138764800.

The previous prime is 126322211479. The next prime is 126322211489. The reversal of 126322211488 is 884112223621.

It is a happy number.

It is a super-2 number, since 2×126322211488² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126322211488.

It is not an unprimeable number, because it can be changed into a prime (126322211489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23818245 + ... + 23823547.

It is an arithmetic number, because the mean of its divisors is an integer number (1523733120).

Almost surely, 2^126322211488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126322211488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146278379520).

126322211488 is an abundant number, since it is smaller than the sum of its proper divisors (166234547552).

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

126322211488 is a wasteful number, since it uses less digits than its factorization.

126322211488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5451 (or 5443 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The spelling of 126322211488 in words is "one hundred twenty-six billion, three hundred twenty-two million, two hundred eleven thousand, four hundred eighty-eight".