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12114312210 = 23457111367223
BaseRepresentation
bin10110100100001000…
…11011110000010010
31011021021012211020000
423102010123300102
5144302230442320
65322031430430
7606126645330
oct132204336022
934237184200
1012114312210
115157239080
122421085416
1311b0a498a0
1482cc96b50
154ad800c90
hex2d211bc12

12114312210 has 640 divisors, whose sum is σ = 44587597824. Its totient is φ = 2278679040.

The previous prime is 12114312209. The next prime is 12114312229. The reversal of 12114312210 is 1221341121.

12114312210 is a `hidden beast` number, since 1 + 2 + 11 + 431 + 221 + 0 = 666.

It is a super-3 number, since 3×121143122103 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 54324159 + ... + 54324381.

Almost surely, 212114312210 is an apocalyptic number.

12114312210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12114312210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22293798912).

12114312210 is an abundant number, since it is smaller than the sum of its proper divisors (32473285614).

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

12114312210 is a wasteful number, since it uses less digits than its factorization.

12114312210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12114312210 its reverse (1221341121), we get a palindrome (13335653331).

The spelling of 12114312210 in words is "twelve billion, one hundred fourteen million, three hundred twelve thousand, two hundred ten".