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22211312120 = 2354178717209
BaseRepresentation
bin10100101011111001…
…011011100111111000
32010022221111120012122
4110223321123213320
5330442043441440
614112001300412
71414263016004
oct245371334770
963287446178
1022211312120
1194687855a8
12437a634708
13212c86a14a
141109c69704
1589ee6e7b5
hex52be5b9f8

22211312120 has 64 divisors (see below), whose sum is σ = 51262394400. Its totient is φ = 8656312320.

The previous prime is 22211312099. The next prime is 22211312147. The reversal of 22211312120 is 2121311222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1282076 + ... + 1299284.

Almost surely, 222211312120 is an apocalyptic number.

22211312120 is a gapful number since it is divisible by the number (20) 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 22211312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25631197200).

22211312120 is an abundant number, since it is smaller than the sum of its proper divisors (29051082280).

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

22211312120 is a wasteful number, since it uses less digits than its factorization.

22211312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18048 (or 18044 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 22211312120 its reverse (2121311222), we get a palindrome (24332623342).

The spelling of 22211312120 in words is "twenty-two billion, two hundred eleven million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 787 820 1574 1640 3148 3935 6296 7870 15740 17209 31480 32267 34418 64534 68836 86045 129068 137672 161335 172090 258136 322670 344180 645340 688360 705569 1290680 1411138 2822276 3527845 5644552 7055690 13543483 14111380 27086966 28222760 54173932 67717415 108347864 135434830 270869660 541739320 555282803 1110565606 2221131212 2776414015 4442262424 5552828030 11105656060 22211312120