1252212819400 has 48 divisors (see below), whose sum is σ = 2911677301440. Its totient is φ = 500836526400.

The previous prime is 1252212819343. The next prime is 1252212819413. The reversal of 1252212819400 is 49182122521.

It is a super-4 number, since 4×1252212819400⁴ (a number of 49 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1252212819400.

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 11 ways as a sum of consecutive naturals, for example, 1798885 + ... + 2395915.

It is an arithmetic number, because the mean of its divisors is an integer number (60659943780).

Almost surely, 2^{1252212819400} is an apocalyptic number.

1252212819400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252212819400 is an abundant number, since it is smaller than the sum of its proper divisors (1659464482040).

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

1252212819400 is a wasteful number, since it uses less digits than its factorization.

1252212819400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607534 (or 607525 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 1252212819400 in words is "one trillion, two hundred fifty-two billion, two hundred twelve million, eight hundred nineteen thousand, four hundred".