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12010113360 = 2432572982171
BaseRepresentation
bin10110010111101101…
…11100100101010000
31011000000010222021100
423023312330211100
5144044042111420
65303430224400
7603423164520
oct131366744520
934000128240
1012010113360
115103439a23
1223b21b5100
131195295b6b
1481d0d1680
154a45bc190
hex2cbdbc950

12010113360 has 240 divisors, whose sum is σ = 47686055040. Its totient is φ = 2650475520.

The previous prime is 12010113317. The next prime is 12010113371. The reversal of 12010113360 is 6331101021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 105075 + ... + 187245.

It is an arithmetic number, because the mean of its divisors is an integer number (198691896).

Almost surely, 212010113360 is an apocalyptic number.

12010113360 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 12010113360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23843027520).

12010113360 is an abundant number, since it is smaller than the sum of its proper divisors (35675941680).

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

12010113360 is a wasteful number, since it uses less digits than its factorization.

12010113360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82226 (or 82217 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12010113360 its reverse (6331101021), we get a palindrome (18341214381).

The spelling of 12010113360 in words is "twelve billion, ten million, one hundred thirteen thousand, three hundred sixty".