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112123032000 = 2635373121529
BaseRepresentation
bin110100001101100001…
…1011011000111000000
3101201102001021011202220
41220123003123013000
53314111444011000
6123301505411040
711046341022060
oct1503303330700
9351361234686
10112123032000
114360758a511
1219891939a80
13a75b2c0265
1455d91473a0
152db36ae1a0
hex1a1b0db1c0

112123032000 has 448 divisors, whose sum is σ = 436789616640. Its totient is φ = 24800256000.

The previous prime is 112123031989. The next prime is 112123032001. The reversal of 112123032000 is 230321211.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112123032001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5197236 + ... + 5218764.

Almost surely, 2112123032000 is an apocalyptic number.

112123032000 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 112123032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218394808320).

112123032000 is an abundant number, since it is smaller than the sum of its proper divisors (324666584640).

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

112123032000 is a wasteful number, since it uses less digits than its factorization.

112123032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21597 (or 21577 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 112123032000 its reverse (230321211), we get a palindrome (112353353211).

The spelling of 112123032000 in words is "one hundred twelve billion, one hundred twenty-three million, thirty-two thousand".