126357040922112 has 1440 divisors, whose sum is σ = 519312255221760. Its totient is φ = 28700681011200.

The previous prime is 126357040922107. The next prime is 126357040922117. The reversal of 126357040922112 is 211229040753621.

126357040922112 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 5 + 7 + 0 + 409 + 221 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (126357040922107) and next prime (126357040922117).

It is a super-2 number, since 2×126357040922112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126357040922117) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 963969537 + ... + 964100607.

Almost surely, 2^{126357040922112} is an apocalyptic number.

126357040922112 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 126357040922112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259656127610880).

126357040922112 is an abundant number, since it is smaller than the sum of its proper divisors (392955214299648).

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

126357040922112 is a wasteful number, since it uses less digits than its factorization.

126357040922112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131156 (or 131126 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 126357040922112 in words is "one hundred twenty-six trillion, three hundred fifty-seven billion, forty million, nine hundred twenty-two thousand, one hundred twelve".