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220121122211112 = 233177955712260813
BaseRepresentation
bin110010000011001011110001…
…010011000000010100101000
31001212101101002110220101222010
4302003023301103000110220
5212322431024241223422
62100054125244555520
764236140416213353
oct6203136123002450
91055341073811863
10220121122211112
1164156930a40301
1220830b46552ba0
1395a94430b6605
143c4dcc226929a
151a6acc769cb0c
hexc832f14c0528

220121122211112 has 128 divisors (see below), whose sum is σ = 591108555916800. Its totient is φ = 68061042536448.

The previous prime is 220121122211041. The next prime is 220121122211171. The reversal of 220121122211112 is 211112221121022.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11822818 + ... + 24083630.

It is an arithmetic number, because the mean of its divisors is an integer number (4618035593100).

Almost surely, 2220121122211112 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 220121122211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295554277958400).

220121122211112 is an abundant number, since it is smaller than the sum of its proper divisors (370987433705688).

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

220121122211112 is a wasteful number, since it uses less digits than its factorization.

220121122211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12261475 (or 12261471 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 220121122211112 its reverse (211112221121022), we get a palindrome (431233343332134).

The spelling of 220121122211112 in words is "two hundred twenty trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 79 102 136 158 204 237 316 408 474 557 632 948 1114 1343 1671 1896 2228 2686 3342 4029 4456 5372 6684 8058 9469 10744 13368 16116 18938 28407 32232 37876 44003 56814 75752 88006 113628 132009 176012 227256 264018 352024 528036 748051 1056072 1496102 2244153 2992204 4488306 5984408 8976612 12260813 17953224 24521626 36782439 49043252 73564878 98086504 147129756 208433821 294259512 416867642 625301463 833735284 968604227 1250602926 1667470568 1937208454 2501205852 2905812681 3874416908 5002411704 5811625362 6829272841 7748833816 11623250724 13658545682 16466271859 20487818523 23246501448 27317091364 32932543718 40975637046 49398815577 54634182728 65865087436 81951274092 98797631154 116097638297 131730174872 163902548184 197595262308 232195276594 348292914891 395190524616 464390553188 539512554439 696585829782 928781106376 1079025108878 1393171659564 1618537663317 2158050217756 2786343319128 3237075326634 4316100435512 6474150653268 9171713425463 12948301306536 18343426850926 27515140276389 36686853701852 55030280552778 73373707403704 110060561105556 220121122211112