Search a number
-
+
122011020210112 = 26116725110305709
BaseRepresentation
bin11011101111011111100111…
…100001001010111111000000
3121000000010202210002120012121
4123233133213201022333000
5111443012032133210422
61111255031111134024
734462001552010535
oct3357374741127700
9530003683076177
10122011020210112
11359706460a6a60
1211826677974314
135310788b43617
14221b517370d8c
15e18bbed658c7
hex6ef7e784afc0

122011020210112 has 112 divisors (see below), whose sum is σ = 269136337357440. Its totient is φ = 54414138240000.

The previous prime is 122011020210091. The next prime is 122011020210139. The reversal of 122011020210112 is 211012020110221.

It is a super-3 number, since 3×1220110202101123 (a number of 43 digits) contains 333 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6686314 + ... + 16992022.

It is an arithmetic number, because the mean of its divisors is an integer number (2403003012120).

Almost surely, 2122011020210112 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 122011020210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134568168678720).

122011020210112 is an abundant number, since it is smaller than the sum of its proper divisors (147125317147328).

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

122011020210112 is a wasteful number, since it uses less digits than its factorization.

122011020210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10306050 (or 10306040 counting only the distinct ones).

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

Adding to 122011020210112 its reverse (211012020110221), we get a palindrome (333023040320333).

The spelling of 122011020210112 in words is "one hundred twenty-two trillion, eleven billion, twenty million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 134 176 251 268 352 502 536 704 737 1004 1072 1474 2008 2144 2761 2948 4016 4288 5522 5896 8032 11044 11792 16064 16817 22088 23584 33634 44176 47168 67268 88352 134536 176704 184987 269072 369974 538144 739948 1076288 1479896 2959792 5919584 10305709 11839168 20611418 41222836 82445672 113362799 164891344 226725598 329782688 453451196 659565376 690482503 906902392 1380965006 1813804784 2586732959 2761930012 3627609568 5173465918 5523860024 7255219136 7595307533 10346931836 11047720048 15190615066 20693863672 22095440096 28454062549 30381230132 41387727344 44190880192 56908125098 60762460264 82775454688 113816250196 121524920528 165550909376 173311108253 227632500392 243049841056 346622216506 455265000784 486099682112 693244433012 910530001568 1386488866024 1821060003136 1906422190783 2772977732048 3812844381566 5545955464096 7625688763132 11091910928192 15251377526264 30502755052528 61005510105056 122011020210112