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12081197088 = 2533107130681
BaseRepresentation
bin10110100000001100…
…00111000000100000
31011011221220101211000
423100012013000200
5144220241301323
65314445552000
7605245323642
oct132006070040
934157811730
1012081197088
11513a580204
122411b75600
1311a6c23a3c
14828716892
154aa95de43
hex2d0187020

12081197088 has 96 divisors (see below), whose sum is σ = 35566413120. Its totient is φ = 3989399040.

The previous prime is 12081197077. The next prime is 12081197099. The reversal of 12081197088 is 88079118021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12081197077) and next prime (12081197099).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27108 + ... + 157788.

It is an arithmetic number, because the mean of its divisors is an integer number (370483470).

Almost surely, 212081197088 is an apocalyptic number.

12081197088 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 12081197088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17783206560).

12081197088 is an abundant number, since it is smaller than the sum of its proper divisors (23485216032).

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

12081197088 is a wasteful number, since it uses less digits than its factorization.

12081197088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130807 (or 130793 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 12081197088 in words is "twelve billion, eighty-one million, one hundred ninety-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 107 108 144 214 216 288 321 428 432 642 856 864 963 1284 1712 1926 2568 2889 3424 3852 5136 5778 7704 10272 11556 15408 23112 30816 46224 92448 130681 261362 392043 522724 784086 1045448 1176129 1568172 2090896 2352258 3136344 3528387 4181792 4704516 6272688 7056774 9409032 12545376 13982867 14113548 18818064 27965734 28227096 37636128 41948601 55931468 56454192 83897202 111862936 112908384 125845803 167794404 223725872 251691606 335588808 377537409 447451744 503383212 671177616 755074818 1006766424 1342355232 1510149636 2013532848 3020299272 4027065696 6040598544 12081197088