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2121220122112 = 29713311468631
BaseRepresentation
bin11110110111100010100…
…100100110011000000000
321111210020110220002100101
4132313202210212120000
5234223224322401422
64302250340532144
7306152545353550
oct36674244463000
97453213802311
102121220122112
11748671505793
122a31343b1054
13125051469a90
147494bc83160
153a2a0145c27
hex1ede2926600

2121220122112 has 160 divisors (see below), whose sum is σ = 5384639361024. Its totient is φ = 812093644800.

The previous prime is 2121220122107. The next prime is 2121220122149. The reversal of 2121220122112 is 2112210221212.

It is a self number, because there is not a number n which added to its sum of digits gives 2121220122112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 710037 + ... + 2178667.

Almost surely, 22121220122112 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 2121220122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692319680512).

2121220122112 is an abundant number, since it is smaller than the sum of its proper divisors (3263419238912).

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

2121220122112 is a wasteful number, since it uses less digits than its factorization.

2121220122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468700 (or 1468684 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2121220122112 its reverse (2112210221212), we get a palindrome (4233430343324).

The spelling of 2121220122112 in words is "two trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 128 182 208 217 224 248 256 364 403 416 434 448 496 512 728 806 832 868 896 992 1456 1612 1664 1736 1792 1984 2821 2912 3224 3328 3472 3584 3968 5642 5824 6448 6656 6944 7936 11284 11648 12896 13888 15872 22568 23296 25792 27776 45136 46592 51584 55552 90272 103168 111104 180544 206336 361088 722176 1444352 1468631 2937262 5874524 10280417 11749048 19092203 20560834 23498096 38184406 41121668 45527561 46996192 76368812 82243336 91055122 93992384 133645421 152737624 164486672 182110244 187984768 267290842 305475248 318692927 328973344 364220488 375969536 534581684 591858293 610950496 637385854 657946688 728440976 751939072 1069163368 1183716586 1221900992 1274771708 1315893376 1456881952 2138326736 2367433172 2443801984 2549543416 2631786752 2913763904 4143008051 4276653472 4734866344 4887603968 5099086832 5263573504 5827527808 8286016102 8553306944 9469732688 9775207936 10198173664 11655055616 16572032204 17106613888 18939465376 20396347328 23310111232 33144064408 34213227776 37878930752 40792694656 66288128816 68426455552 75757861504 81585389312 132576257632 151515723008 163170778624 265152515264 303031446016 530305030528 1060610061056 2121220122112