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110212200120 = 2335111514331277
BaseRepresentation
bin110011010100100101…
…0001011011010111000
3101112110212200212012210
41212221022023122320
53301203310400440
6122344125535120
710651106146461
oct1465112133270
9345425625183
10110212200120
1142816a06210
1219439a144a0
13a5154662c9
14549745dd68
152d00a61a80
hex19a928b6b8

110212200120 has 256 divisors, whose sum is σ = 364206689280. Its totient is φ = 26459136000.

The previous prime is 110212200083. The next prime is 110212200143. The reversal of 110212200120 is 21002212011.

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 = 110212200096 and 110212200105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86304922 + ... + 86306198.

It is an arithmetic number, because the mean of its divisors is an integer number (1422682380).

Almost surely, 2110212200120 is an apocalyptic number.

110212200120 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 110212200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182103344640).

110212200120 is an abundant number, since it is smaller than the sum of its proper divisors (253994489160).

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

110212200120 is a wasteful number, since it uses less digits than its factorization.

110212200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1882 counting only the distinct ones).

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

Adding to 110212200120 its reverse (21002212011), we get a palindrome (131214412131).

The spelling of 110212200120 in words is "one hundred ten billion, two hundred twelve million, two hundred thousand, one hundred twenty".