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12022669008 = 24327217731373
BaseRepresentation
bin10110011001001101…
…10101111011010000
31011000212202212101100
423030212311323100
5144110300402013
65304555304400
7603635000100
oct131446657320
934025685340
1012022669008
11510a535199
1223b644b100
131197a70a3c
14820a3d200
154a574c473
hex2cc9b5ed0

12022669008 has 360 divisors, whose sum is σ = 42040789128. Its totient is φ = 3186376704.

The previous prime is 12022669003. The next prime is 12022669031. The reversal of 12022669008 is 80096622021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7529379984 + 4493289024 = 86772^2 + 67032^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022669003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8755810 + ... + 8757182.

Almost surely, 212022669008 is an apocalyptic number.

12022669008 is a gapful number since it is divisible by the number (18) 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 12022669008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21020394564).

12022669008 is an abundant number, since it is smaller than the sum of its proper divisors (30018120120).

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

12022669008 is a wasteful number, since it uses less digits than its factorization.

12022669008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12022669008 in words is "twelve billion, twenty-two million, six hundred sixty-nine thousand, eight".