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12088120041288 = 2332208380600363
BaseRepresentation
bin1010111111100111110000…
…0110011101111101001000
31120210121112212111000101100
42233321330012131331020
53041022432212310123
641413112232221400
72355223612006614
oct257717406357510
946717485430340
1012088120041288
1139405a7699105
121432912b3a860
13698b9bba7455
142db0d4d4c344
1515e68e1ec643
hexafe7c19df48

12088120041288 has 48 divisors (see below), whose sum is σ = 32754375922320. Its totient is φ = 4027438888416.

The previous prime is 12088120041287. The next prime is 12088120041299. The reversal of 12088120041288 is 88214002188021.

12088120041288 is a `hidden beast` number, since 1 + 20 + 8 + 8 + 1 + 200 + 412 + 8 + 8 = 666.

It is a super-2 number, since 2×120881200412882 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12088120041287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40150206 + ... + 40450157.

It is an arithmetic number, because the mean of its divisors is an integer number (682382831715).

Almost surely, 212088120041288 is an apocalyptic number.

12088120041288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12088120041288 is an abundant number, since it is smaller than the sum of its proper divisors (20666255881032).

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

12088120041288 is a wasteful number, since it uses less digits than its factorization.

12088120041288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80602458 (or 80602451 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The spelling of 12088120041288 in words is "twelve trillion, eighty-eight billion, one hundred twenty million, forty-one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2083 4166 6249 8332 12498 16664 18747 24996 37494 49992 74988 149976 80600363 161200726 241801089 322401452 483602178 644802904 725403267 967204356 1450806534 1934408712 2901613068 5803226136 167890556129 335781112258 503671668387 671562224516 1007343336774 1343124449032 1511015005161 2014686673548 3022030010322 4029373347096 6044060020644 12088120041288