1252206030400 has 84 divisors (see below), whose sum is σ = 3318225631252. Its totient is φ = 462352988160.

The previous prime is 1252206030347. The next prime is 1252206030407. The reversal of 1252206030400 is 40306022521.

It can be written as a sum of positive squares in 6 ways, for example, as 26509049856 + 1225696980544 = 162816^2 + 1107112^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1252206030407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30080307 + ... + 30121906.

Almost surely, 2^{1252206030400} is an apocalyptic number.

1252206030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252206030400 is an abundant number, since it is smaller than the sum of its proper divisors (2066019600852).

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

1252206030400 is a wasteful number, since it uses less digits than its factorization.

1252206030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60202248 (or 60202233 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 1252206030400 in words is "one trillion, two hundred fifty-two billion, two hundred six million, thirty thousand, four hundred".