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12070229192 = 23723121792
BaseRepresentation
bin10110011110111000…
…10001010011001000
31011011012021011200122
423033130101103020
5144204434313232
65313414522412
7605053153400
oct131734212310
934135234618
1012070229192
11513436992a
12240a366408
1311a4883768
1482709d800
154a99e4312
hex2cf7114c8

12070229192 has 108 divisors (see below), whose sum is σ = 27356112315. Its totient is φ = 4978118880.

The previous prime is 12070229191. The next prime is 12070229209. The reversal of 12070229192 is 29192207021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6035114596 + 6035114596 = 77686^2 + 77686^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=77686.

It is not an unprimeable number, because it can be changed into a prime (12070229191) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67431359 + ... + 67431537.

Almost surely, 212070229192 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 12070229192

12070229192 is an abundant number, since it is smaller than the sum of its proper divisors (15285883123).

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

12070229192 is an equidigital number, since it uses as much as digits as its factorization.

12070229192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The spelling of 12070229192 in words is "twelve billion, seventy million, two hundred twenty-nine thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 179 196 217 248 358 392 434 716 868 961 1253 1432 1519 1736 1922 2506 3038 3844 5012 5549 6076 6727 7688 8771 10024 11098 12152 13454 17542 22196 26908 32041 35084 38843 44392 47089 53816 64082 70168 77686 94178 128164 155372 172019 188356 224287 256328 271901 310744 344038 376712 448574 543802 688076 897148 993271 1087604 1204133 1376152 1570009 1794296 1986542 2175208 2408266 3140018 3973084 4816532 6280036 6952897 7946168 8428931 9633064 12560072 13905794 16857862 27811588 30791401 33715724 48670279 55623176 61582802 67431448 97340558 123165604 194681116 215539807 246331208 389362232 431079614 862159228 1508778649 1724318456 3017557298 6035114596 12070229192