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122111020110112 = 25112113169518809
BaseRepresentation
bin11011110000111100101111…
…111110100001000100100000
3121000100200212221112211021121
4123300330233332201010200
5112001131332122010422
61111413010032102024
734502141625101515
oct3360745776410440
9530320787484247
10122111020110112
11359a9aa1473a10
1211841b25694914
13531a034619697
1422222c23a730c
15e1b5c40808c7
hex6f0f2ffa1120

122111020110112 has 96 divisors (see below), whose sum is σ = 263587770734400. Its totient is φ = 55224413798400.

The previous prime is 122111020110089. The next prime is 122111020110127. The reversal of 122111020110112 is 211011020111221.

It is a super-2 number, since 2×1221110201101122 (a number of 29 digits) contains 22 as substring.

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

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, 235108564 + ... + 235627372.

It is an arithmetic number, because the mean of its divisors is an integer number (2745705945150).

Almost surely, 2122111020110112 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 122111020110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131793885367200).

122111020110112 is an abundant number, since it is smaller than the sum of its proper divisors (141476750624288).

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

122111020110112 is a wasteful number, since it uses less digits than its factorization.

122111020110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522210 (or 522202 counting only the distinct ones).

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

Adding to 122111020110112 its reverse (211011020111221), we get a palindrome (333122040221333).

The spelling of 122111020110112 in words is "one hundred twenty-two trillion, one hundred eleven billion, twenty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 211 352 422 844 1688 2321 3169 3376 4642 6338 6752 9284 12676 18568 25352 34859 37136 50704 69718 74272 101408 139436 278872 518809 557744 668659 1037618 1115488 1337318 2075236 2674636 4150472 5349272 5706899 7355249 8300944 10698544 11413798 14710498 16601888 21397088 22827596 29420996 45655192 58841992 91310384 109468699 117683984 182620768 218937398 235367968 437874796 875749592 1204155689 1644105721 1751499184 2408311378 3288211442 3502998368 4816622756 6576422884 9633245512 13152845768 18085162931 19266491024 26305691536 36170325862 38532982048 52611383072 72340651724 144681303448 289362606896 346906307131 578725213792 693812614262 1387625228524 2775250457048 3815969378441 5550500914096 7631938756882 11101001828192 15263877513764 30527755027528 61055510055056 122111020110112