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122201011201122 = 23272314469351591
BaseRepresentation
bin11011110010010000100011…
…110111010010010001100010
3121000200022011120122220120100
4123302100203313102101202
5112004120132331413442
61111522211453323230
734511505655541400
oct3362204367222142
9530608146586510
10122201011201122
1135a3418105a5a7
121185745b496516
13532567663c869
1422267bc026470
15e1dade74c84c
hex6f2423dd2462

122201011201122 has 72 divisors (see below), whose sum is σ = 317931794848512. Its totient is φ = 33788298020400.

The previous prime is 122201011201117. The next prime is 122201011201141. The reversal of 122201011201122 is 221102110102221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122201011201095 and 122201011201104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2234648454 + ... + 2234703137.

It is an arithmetic number, because the mean of its divisors is an integer number (4415719372896).

Almost surely, 2122201011201122 is an apocalyptic number.

122201011201122 is an abundant number, since it is smaller than the sum of its proper divisors (195730783647390).

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

122201011201122 is a wasteful number, since it uses less digits than its factorization.

122201011201122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4469351644 (or 4469351634 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122201011201122 its reverse (221102110102221), we get a palindrome (343303121303343).

The spelling of 122201011201122 in words is "one hundred twenty-two trillion, two hundred one billion, eleven million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 434 441 558 651 882 1302 1519 1953 3038 3906 4557 9114 13671 27342 4469351591 8938703182 13408054773 26816109546 31285461137 40224164319 62570922274 80448328638 93856383411 138549899321 187712766822 218998227959 277099798642 281569150233 415649697963 437996455918 563138300466 656994683877 831299395926 969849295247 1246949093889 1313989367754 1939698590494 1970984051631 2493898187778 2909547885741 3941968103262 5819095771482 6788945066729 8728643657223 13577890133458 17457287314446 20366835200187 40733670400374 61100505600561 122201011201122