126216921600000 has 7488 divisors, whose sum is σ = 643967967412224. Its totient is φ = 23887872000000.

The previous prime is 126216921599941. The next prime is 126216921600013. The reversal of 126216921600000 is 6129612621.

126216921600000 is a `hidden beast` number, since 1 + 2 + 6 + 21 + 6 + 9 + 21 + 600 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×126216921600000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 575 ways as a sum of consecutive naturals, for example, 4071513599985 + ... + 4071513600015.

It is an arithmetic number, because the mean of its divisors is an integer number (85999995648).

Almost surely, 2^{126216921600000} is an apocalyptic number.

126216921600000 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 126216921600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321983983706112).

126216921600000 is an abundant number, since it is smaller than the sum of its proper divisors (517751045812224).

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

126216921600000 is an frugal number, since it uses more digits than its factorization.

126216921600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 126216921600000 in words is "one hundred twenty-six trillion, two hundred sixteen billion, nine hundred twenty-one million, six hundred thousand".