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12022111680 = 26351719137283
BaseRepresentation
bin10110011001001001…
…01101110111000000
31011000211201112212120
423030210231313000
5144110130033210
65304535324240
7603630156165
oct131444556700
934024645776
1012022111680
11510a194497
1223b6220680
131197907167
1482093606c
154a568c270
hex2cc92ddc0

12022111680 has 448 divisors, whose sum is σ = 43004597760. Its totient is φ = 2827616256.

The previous prime is 12022111679. The next prime is 12022111687. The reversal of 12022111680 is 8611122021.

It is a super-3 number, since 3×120221116803 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12022111680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022111687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42480819 + ... + 42481101.

Almost surely, 212022111680 is an apocalyptic number.

12022111680 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 12022111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21502298880).

12022111680 is an abundant number, since it is smaller than the sum of its proper divisors (30982486080).

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

12022111680 is a wasteful number, since it uses less digits than its factorization.

12022111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 12022111680 in words is "twelve billion, twenty-two million, one hundred eleven thousand, six hundred eighty".