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112121200020 = 223553971033529
BaseRepresentation
bin110100001101011110…
…0011011110110010100
3101201101220211002202210
41220122330123312110
53314111011400040
6123301402233420
711046316322034
oct1503274336624
9351356732683
10112121200020
1143606549085
12198911b5870
13a75aacb44b
1455d8bcb8c4
152db344b480
hex1a1af1bd94

112121200020 has 192 divisors, whose sum is σ = 326390238720. Its totient is φ = 28742418432.

The previous prime is 112121200003. The next prime is 112121200021. The reversal of 112121200020 is 20002121211.

112121200020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112121199969 and 112121200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121200021) 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, 31769616 + ... + 31773144.

It is an arithmetic number, because the mean of its divisors is an integer number (1699949160).

Almost surely, 2112121200020 is an apocalyptic number.

112121200020 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 112121200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163195119360).

112121200020 is an abundant number, since it is smaller than the sum of its proper divisors (214269038700).

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

112121200020 is a wasteful number, since it uses less digits than its factorization.

112121200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112121200020 its reverse (20002121211), we get a palindrome (132123321231).

The spelling of 112121200020 in words is "one hundred twelve billion, one hundred twenty-one million, two hundred thousand, twenty".