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2012000200122 = 2311312718874091
BaseRepresentation
bin11101010001110100100…
…011101010010110111010
321010100022202100011211110
4131101310203222112322
5230431034022400442
64140144454541150
7265235145344163
oct35216443522672
97110282304743
102012000200122
11706314729850
12285b329677b6
13117966768cc3
146d54a52076a
153750b78c69c
hex1d4748ea5ba

2012000200122 has 128 divisors (see below), whose sum is σ = 4554387357696. Its totient is φ = 587045880000.

The previous prime is 2012000200019. The next prime is 2012000200127. The reversal of 2012000200122 is 2210020002102.

It is a junction number, because it is equal to n+sod(n) for n = 2012000200098 and 2012000200107.

It is not an unprimeable number, because it can be changed into a prime (2012000200127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 491809297 + ... + 491813387.

It is an arithmetic number, because the mean of its divisors is an integer number (35581151232).

Almost surely, 22012000200122 is an apocalyptic number.

2012000200122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012000200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277193678848).

2012000200122 is an abundant number, since it is smaller than the sum of its proper divisors (2542387157574).

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

2012000200122 is a wasteful number, since it uses less digits than its factorization.

2012000200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5296.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2012000200122 its reverse (2210020002102), we get a palindrome (4222020202224).

It can be divided in two parts, 2012000 and 200122, that added together give a palindrome (2212122).

The spelling of 2012000200122 in words is "two trillion, twelve billion, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 271 341 542 682 813 887 1023 1626 1774 2046 2661 2981 4091 5322 5962 8182 8401 8943 9757 12273 16802 17886 19514 24546 25203 27497 29271 45001 50406 54994 58542 82491 90002 92411 126821 135003 164982 184822 240377 253642 270006 277233 302467 380463 480754 554466 604934 721131 760926 907401 1108661 1395031 1442262 1814802 2217322 2644147 2790062 3325983 3628717 4185093 5288294 6651966 7257434 7451687 7932441 8370186 10886151 12195271 14903374 15864882 21772302 22355061 24390542 34368491 36585813 39915887 44710122 68736982 73171626 79831774 81968557 103105473 112490227 119747661 163937114 206210946 224980454 239495322 245905671 337470681 378053401 491811342 674941362 756106802 983382307 1134160203 1237392497 1966764614 2268320406 2474784994 2950146921 3712177491 5900293842 7424354982 10817205377 21634410754 30484851517 32451616131 60969703034 64903232262 91454554551 182909109102 335333366687 670666733374 1006000100061 2012000200122