126222373670400 has 1080 divisors, whose sum is σ = 534372012500040. Its totient is φ = 28361756344320.

The previous prime is 126222373670353. The next prime is 126222373670509. The reversal of 126222373670400 is 4076373222621.

126222373670400 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 2 + 237 + 3 + 6 + 7 + 0 + 400 = 666.

It is a super-2 number, since 2×126222373670400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 332853702 + ... + 333232698.

It is an arithmetic number, because the mean of its divisors is an integer number (494788900463).

Almost surely, 2^{126222373670400} is an apocalyptic number.

126222373670400 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 126222373670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267186006250020).

126222373670400 is an abundant number, since it is smaller than the sum of its proper divisors (408149638829640).

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

126222373670400 is a wasteful number, since it uses less digits than its factorization.

126222373670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379104 (or 379073 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 126222373670400 in words is "one hundred twenty-six trillion, two hundred twenty-two billion, three hundred seventy-three million, six hundred seventy thousand, four hundred".