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1212311213032 = 23172432614649
BaseRepresentation
bin10001101001000011011…
…000010001001111101000
311021220012001102112100111
4101221003120101033220
5124330303132304112
62324532244344104
7153405126200263
oct21510330211750
94256161375314
101212311213032
11428158090717
12176b546a5034
138a42207504a
14429675d7cda
15218059325a7
hex11a436113e8

1212311213032 has 144 divisors (see below), whose sum is σ = 2513187499500. Its totient is φ = 547979120640.

The previous prime is 1212311212997. The next prime is 1212311213123. The reversal of 1212311213032 is 2303121132121.

It can be written as a sum of positive squares in 6 ways, for example, as 961015538596 + 251295674436 = 980314^2 + 501294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1212311212994 and 1212311213012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 260765844 + ... + 260770492.

Almost surely, 21212311213032 is an apocalyptic number.

It is an amenable number.

1212311213032 is an abundant number, since it is smaller than the sum of its proper divisors (1300876286468).

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

1212311213032 is a wasteful number, since it uses less digits than its factorization.

1212311213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1212311213032 its reverse (2303121132121), we get a palindrome (3515432345153).

The spelling of 1212311213032 in words is "one trillion, two hundred twelve billion, three hundred eleven million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 8 17 34 43 61 68 86 122 136 172 244 289 344 488 578 731 1037 1156 1462 1849 2074 2312 2623 2924 3698 4148 4649 5246 5848 7396 8296 9298 10492 12427 14792 17629 18596 20984 24854 31433 35258 37192 44591 49708 62866 70516 79033 89182 99416 112789 125732 141032 158066 178364 199907 225578 251464 283589 316132 356728 399814 451156 534361 567178 632264 758047 799628 902312 1068722 1134356 1343561 1516094 1599256 1917413 2137444 2268712 2687122 3032188 3398419 3834826 4274888 4821013 5374244 6064376 6796838 7669652 8596001 9642026 10748488 12194327 13593676 15339304 17192002 19284052 24388654 27187352 32596021 34384004 38568104 48777308 57773123 65192042 68768008 81957221 97554616 115546246 130384084 146132017 163914442 207303559 231092492 260768168 292264034 327828884 414607118 462184984 524356061 584528068 655657768 829214236 1048712122 1169056136 1658428472 2097424244 2484244289 3524160503 4194848488 4968488578 7048321006 8914053037 9936977156 14096642012 17828106074 19873954312 28193284024 35656212148 71312424296 151538901629 303077803258 606155606516 1212311213032