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122111111121020 = 22571317583878041
BaseRepresentation
bin11011110000111100110101…
…011001101100100001111100
3121000100201010021210122202222
4123300330311121230201330
5112001132023421333040
61111413023042504512
734502144111504450
oct3360746531544174
9530321107718688
10122111111121020
11359aa03888583a
1211841b50065138
13531a04a4337a8
1422222d04d8660
15e1b5cc05bbb5
hex6f0f3566c87c

122111111121020 has 96 divisors (see below), whose sum is σ = 295343096057856. Its totient is φ = 41541547507200.

The previous prime is 122111111121011. The next prime is 122111111121059. The reversal of 122111111121020 is 20121111111221.

It is a super-2 number, since 2×1221111111210202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122111111121020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138633200 + ... + 139511240.

It is an arithmetic number, because the mean of its divisors is an integer number (3076490583936).

Almost surely, 2122111111121020 is an apocalyptic number.

122111111121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122111111121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147671548028928).

122111111121020 is an abundant number, since it is smaller than the sum of its proper divisors (173231984936836).

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

122111111121020 is a wasteful number, since it uses less digits than its factorization.

122111111121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885771 (or 885769 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 122111111121020 its reverse (20121111111221), we get a palindrome (142232222232241).

The spelling of 122111111121020 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred eleven million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 524 655 917 1310 1834 2620 3668 4585 7583 9170 15166 18340 30332 37915 53081 75830 106162 151660 212324 265405 530810 878041 993373 1061620 1756082 1986746 3512164 3973492 4390205 4966865 6146287 6953611 8780410 9933730 12292574 13907222 17560820 19867460 24585148 27814444 30731435 34768055 61462870 69536110 115023371 122925740 139072220 230046742 460093484 575116855 805163597 1150233710 1610327194 2300467420 3220654388 4025817985 6658184903 8051635970 13316369806 16103271940 26632739612 33290924515 46607294321 66581849030 93214588642 133163698060 186429177284 233036471605 466072943210 872222222293 932145886420 1744444444586 3488888889172 4361111111465 6105555556051 8722222222930 12211111112102 17444444445860 24422222224204 30527777780255 61055555560510 122111111121020