115212400 has 60 divisors (see below), whose sum is σ = 293097312. Its totient is φ = 43371520.

The previous prime is 115212379. The next prime is 115212421. The reversal of 115212400 is 4212511.

115212400 = 294² + 295² + ... + 718².

It is an interprime number because it is at equal distance from previous prime (115212379) and next prime (115212421).

It is a super-2 number, since 2×115212400² = 26547794227520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1672 + ... + 15271.

Almost surely, 2^115212400 is an apocalyptic number.

115212400 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 115212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146548656).

115212400 is an abundant number, since it is smaller than the sum of its proper divisors (177884912).

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

115212400 is a wasteful number, since it uses less digits than its factorization.

115212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16978 (or 16967 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 115212400 is about 10733.7039273496. The cubic root of 115212400 is about 486.5936171919.

Adding to 115212400 its reverse (4212511), we get a palindrome (119424911).

It can be divided in two parts, 115212 and 400, that multiplied together give a triangular number (46084800 = T₉₆₀₀).

The spelling of 115212400 in words is "one hundred fifteen million, two hundred twelve thousand, four hundred".