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122111212100020 = 225111368899619693
BaseRepresentation
bin11011110000111100111011…
…011010111001100110110100
3121000100201101022210220220221
4123300330323122321212310
5112001132230244200040
61111413041051104124
734502146446015043
oct3360747332714664
9530321338726827
10122111212100020
11359aa08a885860
1211841b79a42044
13531a06532aa90
1422222ddaa255a
15e1b5d5d5674a
hex6f0f3b6b99b4

122111212100020 has 96 divisors (see below), whose sum is σ = 301269443529600. Its totient is φ = 40987717839360.

The previous prime is 122111212099999. The next prime is 122111212100023. The reversal of 122111212100020 is 20001212111221.

It is a super-2 number, since 2×1221112121000202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111212099967 and 122111212100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111212100023) 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, 196741294 + ... + 197360986.

It is an arithmetic number, because the mean of its divisors is an integer number (3138223370100).

Almost surely, 2122111212100020 is an apocalyptic number.

122111212100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111212100020 is an abundant number, since it is smaller than the sum of its proper divisors (179158231429580).

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

122111212100020 is a wasteful number, since it uses less digits than its factorization.

122111212100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688625 (or 688623 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122111212100020 its reverse (20001212111221), we get a palindrome (142112424211241).

The spelling of 122111212100020 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred twelve million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 68899 137798 275596 344495 619693 688990 757889 895687 1239386 1377980 1515778 1791374 2478772 3031556 3098465 3582748 3789445 4478435 6196930 6816623 7578890 8056009 8956870 9852557 12393860 13633246 15157780 16112018 17913740 19705114 27266492 32224036 34083115 39410228 40280045 49262785 68166230 80560090 88616099 98525570 136332460 161120180 177232198 197051140 354464396 443080495 886160990 1772321980 42696228007 85392456014 170784912028 213481140035 426962280070 469658508077 555050964091 853924560140 939317016154 1110101928182 1878634032308 2220203856364 2348292540385 2775254820455 4696585080770 5550509640910 6105560605001 9393170161540 11101019281820 12211121210002 24422242420004 30527803025005 61055606050010 122111212100020