1252227026304 has 256 divisors, whose sum is σ = 3920542257600. Its totient is φ = 392119418880.

The previous prime is 1252227026279. The next prime is 1252227026317. The reversal of 1252227026304 is 4036207222521.

1252227026304 is a `hidden beast` number, since 1 + 2 + 522 + 2 + 70 + 2 + 63 + 0 + 4 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31765134 + ... + 31804530.

Almost surely, 2^{1252227026304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252227026304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960271128800).

1252227026304 is an abundant number, since it is smaller than the sum of its proper divisors (2668315231296).

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

1252227026304 is a wasteful number, since it uses less digits than its factorization.

1252227026304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39978 (or 39960 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 1252227026304 in words is "one trillion, two hundred fifty-two billion, two hundred twenty-seven million, twenty-six thousand, three hundred four".