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12022553088 = 293371319503
BaseRepresentation
bin10110011001001100…
…11001101000000000
31011000212112222101000
423030212121220000
5144110233144323
65304553012000
7603634005120
oct131446315000
934025488330
1012022553088
11510a466097
1223b63b4000
131197a30050
14820a0cc80
154a5727e43
hex2cc999a00

12022553088 has 640 divisors, whose sum is σ = 46197043200. Its totient is φ = 2997927936.

The previous prime is 12022553087. The next prime is 12022553089. The reversal of 12022553088 is 88035522021.

12022553088 is a `hidden beast` number, since 1 + 2 + 0 + 22 + 553 + 0 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (12022553087) and next prime (12022553089).

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

It is not an unprimeable number, because it can be changed into a prime (12022553087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23901445 + ... + 23901947.

It is an arithmetic number, because the mean of its divisors is an integer number (72182880).

Almost surely, 212022553088 is an apocalyptic number.

12022553088 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 12022553088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23098521600).

12022553088 is an abundant number, since it is smaller than the sum of its proper divisors (34174490112).

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

12022553088 is a wasteful number, since it uses less digits than its factorization.

12022553088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 12022553088 in words is "twelve billion, twenty-two million, five hundred fifty-three thousand, eighty-eight".