126104311152 has 240 divisors, whose sum is σ = 394580459520. Its totient is φ = 37362124800.

The previous prime is 126104311121. The next prime is 126104311159. The reversal of 126104311152 is 251113401621.

126104311152 is a `hidden beast` number, since 1 + 2 + 610 + 4 + 31 + 1 + 15 + 2 = 666.

It is a super-2 number, since 2×126104311152² (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 (126104311159) 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 47 ways as a sum of consecutive naturals, for example, 15391377 + ... + 15399567.

It is an arithmetic number, because the mean of its divisors is an integer number (1644085248).

Almost surely, 2^126104311152 is an apocalyptic number.

126104311152 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 126104311152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197290229760).

126104311152 is an abundant number, since it is smaller than the sum of its proper divisors (268476148368).

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

126104311152 is a wasteful number, since it uses less digits than its factorization.

126104311152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572 (or 8563 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 126104311152 its reverse (251113401621), we get a palindrome (377217712773).

The spelling of 126104311152 in words is "one hundred twenty-six billion, one hundred four million, three hundred eleven thousand, one hundred fifty-two".