112302000 has 240 divisors, whose sum is σ = 416437632. Its totient is φ = 28108800.

The previous prime is 112301971. The next prime is 112302013. The reversal of 112302000 is 203211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×112302000² = 25223478408000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305817 + ... + 306183.

Almost surely, 2^112302000 is an apocalyptic number.

112302000 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 112302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208218816).

112302000 is an abundant number, since it is smaller than the sum of its proper divisors (304135632).

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

112302000 is a wasteful number, since it uses less digits than its factorization.

112302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 112302000 is about 10597.2637977923. The cubic root of 112302000 is about 482.4613157707.

Adding to 112302000 its reverse (203211), we get a palindrome (112505211).

The spelling of 112302000 in words is "one hundred twelve million, three hundred two thousand".