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12002002122102 = 2373937121324109
BaseRepresentation
bin1010111010100110111100…
…0100101011010101110110
31120111101021011102102222220
42232221233010223111312
53033120100020401402
641305351010303210
72346054541533126
oct256515704532566
946441234372886
1012002002122102
113908025340873
12141a09a287b06
13690a2642ab15
142d6c8586ac86
1515c2edaa1dbc
hexaea6f12b576

12002002122102 has 64 divisors (see below), whose sum is σ = 24379887725760. Its totient is φ = 3938239678464.

The previous prime is 12002002122053. The next prime is 12002002122109. The reversal of 12002002122102 is 20122120020021.

It is a super-2 number, since 2×120020021221022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002002122109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497810424 + ... + 497834532.

It is an arithmetic number, because the mean of its divisors is an integer number (380935745715).

Almost surely, 212002002122102 is an apocalyptic number.

12002002122102 is an abundant number, since it is smaller than the sum of its proper divisors (12377885603658).

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

12002002122102 is a wasteful number, since it uses less digits than its factorization.

12002002122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26337.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12002002122102 its reverse (20122120020021), we get a palindrome (32124122142123).

The spelling of 12002002122102 in words is "twelve trillion, two billion, two million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 73 146 219 438 937 1213 1874 2426 2811 3639 5622 7278 24109 48218 68401 72327 88549 136802 144654 177098 205203 265647 410406 531294 1136581 1759957 2273162 3409743 3519914 5279871 6819486 10559742 22590133 29244217 45180266 58488434 67770399 82970413 87732651 135540798 165940826 175465302 248911239 497822478 1649079709 2134827841 3298159418 4269655682 4947239127 6404483523 9894478254 12808967046 27401831329 54803662658 82205493987 164410987974 2000333687017 4000667374034 6001001061051 12002002122102