112421952 has 224 divisors, whose sum is σ = 362102400. Its totient is φ = 34062336.

The previous prime is 112421899. The next prime is 112421983. The reversal of 112421952 is 259124211.

112421952 = 58³ + 59³ + ... + 146³.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1263124 + ... + 1263212.

Almost surely, 2^112421952 is an apocalyptic number.

112421952 is a gapful number since it is divisible by the number (12) 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 112421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181051200).

112421952 is an abundant number, since it is smaller than the sum of its proper divisors (249680448).

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

112421952 is a wasteful number, since it uses less digits than its factorization.

112421952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 112421952 is about 10602.9218614493. The cubic root of 112421952 is about 482.6330301573.

The spelling of 112421952 in words is "one hundred twelve million, four hundred twenty-one thousand, nine hundred fifty-two".