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122220011110112 = 25293116993250013
BaseRepresentation
bin11011110010100010010000…
…010110001011111011100000
3121000202010012201100021212022
4123302202100112023323200
5112004423040321010422
61111535033055321012
734513050545235146
oct3362422026137340
9530663181307768
10122220011110112
1135a41241003423
121185b082520168
1353273b3a77a66
1422276a1579596
15e1e3527ba342
hex6f289058bee0

122220011110112 has 96 divisors (see below), whose sum is σ = 256963669159680. Its totient is φ = 57095860469760.

The previous prime is 122220011110039. The next prime is 122220011110231. The reversal of 122220011110112 is 211011110022221.

It is a super-2 number, since 2×1222200111101122 (a number of 29 digits) contains 22 as substring.

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, 488729618 + ... + 488979630.

It is an arithmetic number, because the mean of its divisors is an integer number (2676704887080).

Almost surely, 2122220011110112 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 122220011110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128481834579840).

122220011110112 is an abundant number, since it is smaller than the sum of its proper divisors (134743658049568).

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

122220011110112 is a wasteful number, since it uses less digits than its factorization.

122220011110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267076 (or 267068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122220011110112 its reverse (211011110022221), we get a palindrome (333231121132333).

The spelling of 122220011110112 in words is "one hundred twenty-two trillion, two hundred twenty billion, eleven million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 31 32 58 62 116 124 232 248 464 496 899 928 992 1798 3596 7192 14384 16993 28768 33986 67972 135944 250013 271888 492797 500026 526783 543776 985594 1000052 1053566 1971188 2000104 2107132 3942376 4000208 4214264 7250377 7750403 7884752 8000416 8428528 14500754 15276707 15500806 15769504 16857056 29001508 30553414 31001612 58003016 61106828 62003224 116006032 122213656 124006448 224761687 232012064 244427312 248012896 449523374 488854624 899046748 1798093496 3596186992 4248470909 7192373984 8496941818 16993883636 33987767272 67975534544 123205656361 131702598179 135951069088 246411312722 263405196358 492822625444 526810392716 985645250888 1053620785432 1971290501776 2107241570864 3819375347191 3942581003552 4214483141728 7638750694382 15277501388764 30555002777528 61110005555056 122220011110112