1252205008272 has 120 divisors (see below), whose sum is σ = 3635057021024. Its totient is φ = 402109650432.

The previous prime is 1252205008259. The next prime is 1252205008277. The reversal of 1252205008272 is 2728005022521.

1252205008272 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 2 + 0 + 500 + 82 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1252205008277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 933118 + ... + 1837149.

Almost surely, 2^{1252205008272} is an apocalyptic number.

1252205008272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1252205008272 is an abundant number, since it is smaller than the sum of its proper divisors (2382852012752).

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

1252205008272 is a wasteful number, since it uses less digits than its factorization.

1252205008272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770397 (or 2770388 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 1252205008272 in words is "one trillion, two hundred fifty-two billion, two hundred five million, eight thousand, two hundred seventy-two".