1252900 has 72 divisors (see below), whose sum is σ = 3187296. Its totient is φ = 422400.

The previous prime is 1252897. The next prime is 1252903. The reversal of 1252900 is 92521.

1252900 = T₁₄₄ + T₁₄₅ + ... + T₂₁₈.

It is an interprime number because it is at equal distance from previous prime (1252897) and next prime (1252903).

It is not an unprimeable number, because it can be changed into a prime (1252903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18667 + ... + 18733.

It is an arithmetic number, because the mean of its divisors is an integer number (44268).

2^1252900 is an apocalyptic number.

1252900 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 1252900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593648).

1252900 is an abundant number, since it is smaller than the sum of its proper divisors (1934396).

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

1252900 is a wasteful number, since it uses less digits than its factorization.

1252900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1252900 is about 1119.3301568349. The cubic root of 1252900 is about 107.8049749701.

It can be divided in two parts, 125 and 2900, that added together give a square (3025 = 55²).

The spelling of 1252900 in words is "one million, two hundred fifty-two thousand, nine hundred".