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12285011288 = 2311717924889
BaseRepresentation
bin10110111000011111…
…00110010101011000
31011201011102020100002
423130033212111120
5200124430330123
65351010232132
7613301605304
oct133417462530
934634366302
1012285011288
1152346288a0
12246a285648
13120a215164
1484780cd04
154bd7bd528
hex2dc3e6558

12285011288 has 64 divisors (see below), whose sum is σ = 25805952000. Its totient is φ = 5435539200.

The previous prime is 12285011281. The next prime is 12285011309. The reversal of 12285011288 is 88211058221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12285011281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481148 + ... + 506036.

It is an arithmetic number, because the mean of its divisors is an integer number (403218000).

Almost surely, 212285011288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12285011288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12902976000).

12285011288 is an abundant number, since it is smaller than the sum of its proper divisors (13520940712).

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

12285011288 is a wasteful number, since it uses less digits than its factorization.

12285011288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25056 (or 25052 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 38.

The spelling of 12285011288 in words is "twelve billion, two hundred eighty-five million, eleven thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 22 44 71 79 88 142 158 284 316 568 632 781 869 1562 1738 3124 3476 5609 6248 6952 11218 22436 24889 44872 49778 61699 99556 123398 199112 246796 273779 493592 547558 1095116 1767119 1966231 2190232 3534238 3932462 7068476 7864924 14136952 15729848 19438309 21628541 38876618 43257082 77753236 86514164 139602401 155506472 173028328 279204802 558409604 1116819208 1535626411 3071252822 6142505644 12285011288