112620144000 has 2048 divisors, whose sum is σ = 513257472000. Its totient is φ = 21167308800.

The previous prime is 112620143983. The next prime is 112620144017. The reversal of 112620144000 is 441026211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112620143983) and next prime (112620144017).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1908815971 + ... + 1908816029.

It is an arithmetic number, because the mean of its divisors is an integer number (250614000).

Almost surely, 2^112620144000 is an apocalyptic number.

112620144000 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 112620144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256628736000).

112620144000 is an abundant number, since it is smaller than the sum of its proper divisors (400637328000).

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

112620144000 is a wasteful number, since it uses less digits than its factorization.

112620144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 112620144000 in words is "one hundred twelve billion, six hundred twenty million, one hundred forty-four thousand".