Search a number
-
+
12214665216 = 216351359
BaseRepresentation
bin10110110000000110…
…10000000000000000
31011112021001021200000
423120003100000000
5200003423241331
65340014400000
7611455640565
oct133003200000
934467037600
1012214665216
1151a8950846
12244a800000
1311c8784c70
1483c33a86c
154b75250e6
hex2d80d0000

12214665216 has 408 divisors, whose sum is σ = 40076268960. Its totient is φ = 3694657536.

The previous prime is 12214665137. The next prime is 12214665227. The reversal of 12214665216 is 61256641221.

12214665216 is a `hidden beast` number, since 122 + 1 + 4 + 6 + 6 + 521 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207028195 + ... + 207028253.

Almost surely, 212214665216 is an apocalyptic number.

12214665216 is a gapful number since it is divisible by the number (16) 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 12214665216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20038134480).

12214665216 is an abundant number, since it is smaller than the sum of its proper divisors (27861603744).

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

12214665216 is an frugal number, since it uses more digits than its factorization.

12214665216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 77 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 12214665216 in words is "twelve billion, two hundred fourteen million, six hundred sixty-five thousand, two hundred sixteen".