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12130312220 = 2251383683823
BaseRepresentation
bin10110100110000010…
…11110000000011100
31011022101022201002222
423103001132000130
5144320324442340
65323402404512
7606412644515
oct132301360034
934271281088
1012130312220
115165277124
122426500738
1311b415c450
1483105da0c
154aee118b5
hex2d305e01c

12130312220 has 96 divisors (see below), whose sum is σ = 27838121472. Its totient is φ = 4413074688.

The previous prime is 12130312213. The next prime is 12130312247. The reversal of 12130312220 is 2221303121.

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, 14738729 + ... + 14739551.

It is an arithmetic number, because the mean of its divisors is an integer number (289980432).

Almost surely, 212130312220 is an apocalyptic number.

12130312220 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 12130312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13919060736).

12130312220 is an abundant number, since it is smaller than the sum of its proper divisors (15707809252).

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

12130312220 is a wasteful number, since it uses less digits than its factorization.

12130312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12130312220 its reverse (2221303121), we get a palindrome (14351615341).

Subtracting from 12130312220 its reverse (2221303121), we obtain a palindrome (9909009099).

The spelling of 12130312220 in words is "twelve billion, one hundred thirty million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 260 332 415 683 823 830 1079 1366 1646 1660 2158 2732 3292 3415 4115 4316 5395 6830 8230 8879 10699 10790 13660 16460 17758 21398 21580 35516 42796 44395 53495 56689 68309 88790 106990 113378 136618 177580 213980 226756 273236 283445 341545 562109 566890 683090 736957 888017 1124218 1133780 1366180 1473914 1776034 2248436 2810545 2947828 3552068 3684785 4440085 5621090 7307417 7369570 8880170 11242180 14614834 14739140 17760340 29229668 36537085 46655047 73074170 93310094 146148340 186620188 233275235 466550470 606515611 933100940 1213031222 2426062444 3032578055 6065156110 12130312220