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12222074880 = 21233523312
BaseRepresentation
bin10110110000111111…
…00001000000000000
31011112202222201211000
423120133201000000
5200012322344010
65340441252000
7611605631241
oct133037410000
934482881730
1012222074880
115202051834
122451194000
1311ca17a792
1483d308cc8
154b7eda7c0
hex2d87e1000

12222074880 has 624 divisors, whose sum is σ = 46849898880. Its totient is φ = 3016949760.

The previous prime is 12222074869. The next prime is 12222074923. The reversal of 12222074880 is 8847022221.

It is a super-2 number, since 2×122220748802 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394260465 + ... + 394260495.

Almost surely, 212222074880 is an apocalyptic number.

12222074880 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 12222074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23424949440).

12222074880 is an abundant number, since it is smaller than the sum of its proper divisors (34627824000).

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

12222074880 is an equidigital number, since it uses as much as digits as its factorization.

12222074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 12222074880 in words is "twelve billion, two hundred twenty-two million, seventy-four thousand, eight hundred eighty".