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12002102002120 = 2352921961471137
BaseRepresentation
bin1010111010100111010100…
…0001101100000111001000
31120111101112010100212121211
42232221311001230013020
53033120301103031440
641305404535142504
72346060163515406
oct256516501540710
946441463325554
1012002102002120
11390807676013a
12141a107814a34
13690a4102bb19
142d6c94c2a476
1515c307730eea
hexaea7506c1c8

12002102002120 has 64 divisors (see below), whose sum is σ = 27937258441200. Its totient is φ = 4635073658880.

The previous prime is 12002102002063. The next prime is 12002102002129. The reversal of 12002102002120 is 2120020120021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9526445212036 + 2475656790084 = 3086494^2 + 1573422^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12002102002120.

It is not an unprimeable number, because it can be changed into a prime (12002102002129) 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, 25239192 + ... + 25710328.

Almost surely, 212002102002120 is an apocalyptic number.

12002102002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002102002120 is an abundant number, since it is smaller than the sum of its proper divisors (15935156439080).

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

12002102002120 is a wasteful number, since it uses less digits than its factorization.

12002102002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493138 (or 493134 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12002102002120 its reverse (2120020120021), we get a palindrome (14122122122141).

The spelling of 12002102002120 in words is "twelve trillion, two billion, one hundred two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 21961 43922 87844 109805 175688 219610 439220 471137 636869 878440 942274 1273738 1884548 2355685 2547476 3184345 3769096 4711370 5094952 6368690 9422740 12737380 13662973 18845480 25474760 27325946 54651892 68314865 109303784 136629730 273259460 546518920 10346639657 20693279314 41386558628 51733198285 82773117256 103466396570 206932793140 300052550053 413865586280 600105100106 1200210200212 1500262750265 2400420400424 3000525500530 6001051001060 12002102002120