126922367819520 has 6912 divisors, whose sum is σ = 631357784064000. Its totient is φ = 23816112832512.

The previous prime is 126922367819479. The next prime is 126922367819537. The reversal of 126922367819520 is 25918763229621.

126922367819520 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 2 + 2 + 36 + 78 + 1 + 9 + 520 = 666.

126922367819520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×126922367819520² (a number of 29 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 polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 760014178477 + ... + 760014178643.

It is an arithmetic number, because the mean of its divisors is an integer number (91342272000).

Almost surely, 2^{126922367819520} is an apocalyptic number.

126922367819520 is a gapful number since it is divisible by the number (10) 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 126922367819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315678892032000).

126922367819520 is an abundant number, since it is smaller than the sum of its proper divisors (504435416244480).

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

126922367819520 is a wasteful number, since it uses less digits than its factorization.

126922367819520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 126922367819520 in words is "one hundred twenty-six trillion, nine hundred twenty-two billion, three hundred sixty-seven million, eight hundred nineteen thousand, five hundred twenty".