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12002003202312 = 23321132331472137
BaseRepresentation
bin1010111010100110111100…
…1000110011000100001000
31120111101021020110022202200
42232221233020303010020
53033120100304433222
641305351045400200
72346054553652334
oct256515710630410
946441236408680
1012002003202312
113908025a09402
12141a09a709060
13690a267186b6
142d6c85a6c7c4
1515c2edc16eac
hexaea6f233108

12002003202312 has 48 divisors (see below), whose sum is σ = 32505734486940. Its totient is φ = 4000629685248.

The previous prime is 12002003202227. The next prime is 12002003202331. The reversal of 12002003202312 is 21320230020021.

12002003202312 is a `hidden beast` number, since 1 + 200 + 200 + 32 + 0 + 231 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8043996405636 + 3958006796676 = 2836194^2 + 1989474^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7416708 + ... + 8888844.

Almost surely, 212002003202312 is an apocalyptic number.

12002003202312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002003202312 is an abundant number, since it is smaller than the sum of its proper divisors (20503731284628).

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

12002003202312 is a wasteful number, since it uses less digits than its factorization.

12002003202312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585382 (or 1585375 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12002003202312 its reverse (21320230020021), we get a palindrome (33322233222333).

The spelling of 12002003202312 in words is "twelve trillion, two billion, three million, two hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113233 226466 339699 452932 679398 905864 1019097 1358796 1472137 2038194 2717592 2944274 4076388 4416411 5888548 8152776 8832822 11777096 13249233 17665644 26498466 35331288 52996932 105993864 166694488921 333388977842 500083466763 666777955684 1000166933526 1333555911368 1500250400289 2000333867052 3000500800578 4000667734104 6001001601156 12002003202312