1252405120200 has 192 divisors, whose sum is σ = 4181947963200. Its totient is φ = 308222284800.

The previous prime is 1252405120117. The next prime is 1252405120207. The reversal of 1252405120200 is 20215042521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1252405120207) 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 47 ways as a sum of consecutive naturals, for example, 47808706 + ... + 47834894.

It is an arithmetic number, because the mean of its divisors is an integer number (21780978975).

Almost surely, 2^{1252405120200} is an apocalyptic number.

1252405120200 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 1252405120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090973981600).

1252405120200 is an abundant number, since it is smaller than the sum of its proper divisors (2929542843000).

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

1252405120200 is a wasteful number, since it uses less digits than its factorization.

1252405120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32352 (or 32343 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 1252405120200 in words is "one trillion, two hundred fifty-two billion, four hundred five million, one hundred twenty thousand, two hundred".