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122111220122112 = 293136115345559
BaseRepresentation
bin11011110000111100111011…
…111001100000001000000000
3121000100201101212220111011110
4123300330323321200020000
5112001132234322401422
61111413041535043320
734502146604136054
oct3360747371401000
9530321355814143
10122111220122112
11359aa094364991
1211841b80670540
13531a066ba9290
142222300b8dc64
15e1b5d68dd60c
hex6f0f3be60200

122111220122112 has 80 divisors (see below), whose sum is σ = 350335916441280. Its totient is φ = 37572683108352.

The previous prime is 122111220122077. The next prime is 122111220122113. The reversal of 122111220122112 is 211221022111221.

It is a super-2 number, since 2×1221112201221122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122111220122113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3057652812 + ... + 3057692747.

It is an arithmetic number, because the mean of its divisors is an integer number (4379198955516).

Almost surely, 2122111220122112 is an apocalyptic number.

122111220122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122111220122112 is an abundant number, since it is smaller than the sum of its proper divisors (228224696319168).

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

122111220122112 is an equidigital number, since it uses as much as digits as its factorization.

122111220122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115345593 (or 6115345577 counting only the distinct ones).

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

Adding to 122111220122112 its reverse (211221022111221), we get a palindrome (333332242233333).

The spelling of 122111220122112 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6656 9984 19968 6115345559 12230691118 18346036677 24461382236 36692073354 48922764472 73384146708 79499492267 97845528944 146768293416 158998984534 195691057888 238498476801 293536586832 317997969068 391382115776 476996953602 587073173664 635995938136 782764231552 953993907204 1174146347328 1271991876272 1565528463104 1907987814408 2348292694656 2543983752544 3131056926208 3815975628816 4696585389312 5087967505088 7631951257632 9393170778624 10175935010176 15263902515264 20351870020352 30527805030528 40703740040704 61055610061056 122111220122112