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12222222022100 = 2252166973230809
BaseRepresentation
bin1011000111011011010100…
…1100111011010111010100
31121021102200200000110211102
42301312311030323113110
53100222102314201400
641554451123125232
72401012025022656
oct261666514732724
947242620013742
1012222222022100
113992462776122
1214548b9513818
136a872085895c
143037b71166d6
15162ddc22c9d5
hexb1db533b5d4

12222222022100 has 36 divisors (see below), whose sum is σ = 26538113235900. Its totient is φ = 4885959509760.

The previous prime is 12222222022067. The next prime is 12222222022123. The reversal of 12222222022100 is 122022222221.

It can be written as a sum of positive squares in 6 ways, for example, as 499569067204 + 11722652954896 = 706802^2 + 3423836^2 .

It is a super-2 number, since 2×122222220221002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36448505 + ... + 36782304.

Almost surely, 212222222022100 is an apocalyptic number.

12222222022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222222022100 is an abundant number, since it is smaller than the sum of its proper divisors (14315891213800).

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

12222222022100 is a wasteful number, since it uses less digits than its factorization.

12222222022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73232492 (or 73232485 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12222222022100 its reverse (122022222221), we get a palindrome (12344244244321).

It can be divided in two parts, 122 and 22222022100, that added together give a palindrome (22222022222).

The spelling of 12222222022100 in words is "twelve trillion, two hundred twenty-two billion, two hundred twenty-two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1669 3338 6676 8345 16690 33380 41725 83450 166900 73230809 146461618 292923236 366154045 732308090 1464616180 1830770225 3661540450 7323080900 122222220221 244444440442 488888880884 611111101105 1222222202210 2444444404420 3055555505525 6111111011050 12222222022100