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12116900 = 2252121169
BaseRepresentation
bin101110001110…
…001110100100
3211210121021002
4232032032210
511100220100
61111412432
7204664145
oct56161644
924717232
1012116900
116926674
124084118
132683283
141875acc
1510e52d5
hexb8e3a4

12116900 has 18 divisors (see below), whose sum is σ = 26293890. Its totient is φ = 4846720.

The previous prime is 12116899. The next prime is 12116953. The reversal of 12116900 is 961121.

12116900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 678976 + 11437924 = 824^2 + 3382^2 .

It is a super-2 number, since 2×121169002 = 293638531220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60485 + ... + 60684.

Almost surely, 212116900 is an apocalyptic number.

12116900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12116900 is an abundant number, since it is smaller than the sum of its proper divisors (14176990).

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

12116900 is a wasteful number, since it uses less digits than its factorization.

12116900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121183 (or 121176 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 12116900 is about 3480.9337827658. The cubic root of 12116900 is about 229.6838757199.

It can be divided in two parts, 121 and 16900, that multiplied together give a square (2044900 = 14302).

The spelling of 12116900 in words is "twelve million, one hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 121169 242338 484676 605845 1211690 2423380 3029225 6058450 12116900