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1201121202112 = 261345991097
BaseRepresentation
bin10001011110101000011…
…001110000111111000000
311020211022012110002010121
4101132220121300333000
5124134344011431422
62315442031510024
7152530621522606
oct21365031607700
94224265402117
101201121202112
11423435672907
12174951088314
138935a980000
14421c53c5876
152139d35d8c7
hex117a8670fc0

1201121202112 has 140 divisors (see below), whose sum is σ = 2588759211600. Its totient is φ = 552933648384.

The previous prime is 1201121202101. The next prime is 1201121202191. The reversal of 1201121202112 is 2112021211021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1094913948 + ... + 1094915044.

Almost surely, 21201121202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201121202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294379605800).

1201121202112 is an abundant number, since it is smaller than the sum of its proper divisors (1387638009488).

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

1201121202112 is an frugal number, since it uses more digits than its factorization.

1201121202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1201121202112 its reverse (2112021211021), we get a palindrome (3313142413133).

The spelling of 1201121202112 in words is "one trillion, two hundred one billion, one hundred twenty-one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 599 676 832 1097 1198 1352 2194 2197 2396 2704 4388 4394 4792 5408 7787 8776 8788 9584 10816 14261 15574 17552 17576 19168 28522 28561 31148 35104 35152 38336 57044 57122 62296 70208 70304 101231 114088 114244 124592 140608 185393 202462 228176 228488 249184 370786 404924 456352 456976 498368 657103 741572 809848 912704 913952 1314206 1316003 1483144 1619696 1827904 2410109 2628412 2632006 2966288 3239392 4820218 5256824 5264012 5932576 6478784 8542339 9640436 10513648 10528024 11865152 17084678 17108039 19280872 21027296 21056048 31331417 34169356 34216078 38561744 42054592 42112096 62662834 68338712 68432156 77123488 84224192 111050407 125325668 136677424 136864312 154246976 222100814 250651336 273354848 273728624 444201628 501302672 546709696 547457248 888403256 1002605344 1094914496 1443655291 1776806512 2005210688 2887310582 3553613024 5774621164 7107226048 11549242328 18767518783 23098484656 37535037566 46196969312 75070075132 92393938624 150140150264 300280300528 600560601056 1201121202112