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1220100211220 = 2251121729657273
BaseRepresentation
bin10001110000010011101…
…000111100001000010100
311022122021212210122011212
4101300103220330020110
5124442231123224340
62332301205520552
7154102135451642
oct21602350741024
94278255718155
101220100211220
11430494841300
12178569113158
138b09397b307
14430a5c58192
1521b0e64da65
hex11c13a3c214

1220100211220 has 72 divisors (see below), whose sum is σ = 2981979586152. Its totient is φ = 417574389760.

The previous prime is 1220100211181. The next prime is 1220100211241. The reversal of 1220100211220 is 221120010221.

It can be written as a sum of positive squares in 4 ways, for example, as 163916477956 + 1056183733264 = 404866^2 + 1027708^2 .

It is a super-2 number, since 2×12201002112202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1220100211195 and 1220100211204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14787497 + ... + 14869776.

It is an arithmetic number, because the mean of its divisors is an integer number (41416383141).

Almost surely, 21220100211220 is an apocalyptic number.

1220100211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220100211220 is an abundant number, since it is smaller than the sum of its proper divisors (1761879374932).

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

1220100211220 is a wasteful number, since it uses less digits than its factorization.

1220100211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29657321 (or 29657308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1220100211220 its reverse (221120010221), we get a palindrome (1441220221441).

The spelling of 1220100211220 in words is "one trillion, two hundred twenty billion, one hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 748 935 1210 1870 2057 2420 3740 4114 8228 10285 20570 41140 29657273 59314546 118629092 148286365 296572730 326230003 504173641 593145460 652460006 1008347282 1304920012 1631150015 2016694564 2520868205 3262300030 3588530033 5041736410 5545910051 6524600060 7177060066 10083472820 11091820102 14354120132 17942650165 22183640204 27729550255 35885300330 55459100510 61005010561 71770600660 110918201020 122010021122 244020042244 305025052805 610050105610 1220100211220