126959297472 has 336 divisors, whose sum is σ = 438875424000. Its totient is φ = 34279096320.

The previous prime is 126959297467. The next prime is 126959297497. The reversal of 126959297472 is 274792959621.

126959297472 is a `hidden beast` number, since 1 + 26 + 9 + 59 + 2 + 97 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×126959297472² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 34395147 + ... + 34398837.

Almost surely, 2^126959297472 is an apocalyptic number.

126959297472 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 126959297472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219437712000).

126959297472 is an abundant number, since it is smaller than the sum of its proper divisors (311916126528).

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

126959297472 is a wasteful number, since it uses less digits than its factorization.

126959297472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4171 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 126959297472 in words is "one hundred twenty-six billion, nine hundred fifty-nine million, two hundred ninety-seven thousand, four hundred seventy-two".