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122110111221020 = 225132955729075359
BaseRepresentation
bin11011110000111011111001…
…110011011000010100011100
3121000100121112121022110211122
4123300323321303120110130
5112001123001433033040
61111412335523310112
734502110250501216
oct3360737163302434
9530317477273748
10122110111221020
11359a96754200aa
121184191121b338
135319c1b22cca0
1422222377b55b6
15e1b56e39a1b5
hex6f0ef9cd851c

122110111221020 has 96 divisors (see below), whose sum is σ = 286192257523200. Its totient is φ = 43453936641024.

The previous prime is 122110111220959. The next prime is 122110111221029. The reversal of 122110111221020 is 20122111011221.

It is a self number, because there is not a number n which added to its sum of digits gives 122110111221020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122110111221029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10337900 + ... + 18737459.

It is an arithmetic number, because the mean of its divisors is an integer number (2981169349200).

Almost surely, 2122110111221020 is an apocalyptic number.

122110111221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110111221020 is an abundant number, since it is smaller than the sum of its proper divisors (164082146302180).

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

122110111221020 is a wasteful number, since it uses less digits than its factorization.

122110111221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29075967 (or 29075965 counting only the distinct ones).

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

Adding to 122110111221020 its reverse (20122111011221), we get a palindrome (142232222232241).

The spelling of 122110111221020 in words is "one hundred twenty-two trillion, one hundred ten billion, one hundred eleven million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 557 580 754 1114 1508 1885 2228 2785 3770 5570 7241 7540 11140 14482 16153 28964 32306 36205 64612 72410 80765 144820 161530 209989 323060 419978 839956 1049945 2099890 4199780 29075359 58150718 116301436 145376795 290753590 377979667 581507180 755959334 843185411 1511918668 1686370822 1889898335 3372741644 3779796670 4215927055 7559593340 8431854110 10961410343 16194974963 16863708220 21922820686 32389949926 43845641372 54807051715 64779899852 80974874815 109614103430 161949749630 210534674519 219228206860 323899499260 421069349038 469654273927 842138698076 939308547854 1052673372595 1878617095708 2105346745190 2348271369635 4210693490380 4696542739270 6105505561051 9393085478540 12211011122102 24422022244204 30527527805255 61055055610510 122110111221020