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22211012120 = 23511734331597
BaseRepresentation
bin10100101011111000…
…010010011000011000
32010022220221022200112
4110223320102120120
5330442004341440
614111551023452
71414260326243
oct245370223030
963286838615
1022211012120
1194685a0170
12437a50ab88
13212c79372b
141109bcc25a
1589ee10965
hex52be12618

22211012120 has 128 divisors (see below), whose sum is σ = 55427077440. Its totient is φ = 7942717440.

The previous prime is 22211012113. The next prime is 22211012137. The reversal of 22211012120 is 2121011222.

It is a junction number, because it is equal to n+sod(n) for n = 22211012095 and 22211012104.

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, 13907162 + ... + 13908758.

Almost surely, 222211012120 is an apocalyptic number.

22211012120 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 22211012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27713538720).

22211012120 is an abundant number, since it is smaller than the sum of its proper divisors (33216065320).

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

22211012120 is a wasteful number, since it uses less digits than its factorization.

22211012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2121 counting only the distinct ones).

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

Adding to 22211012120 its reverse (2121011222), we get a palindrome (24332023342).

The spelling of 22211012120 in words is "twenty-two billion, two hundred eleven million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 433 440 584 730 803 866 1460 1597 1606 1732 2165 2920 3194 3212 3464 4015 4330 4763 6388 6424 7985 8030 8660 9526 12776 15970 16060 17320 17567 19052 23815 31609 31940 32120 35134 38104 47630 63218 63880 70268 87835 95260 116581 126436 140536 158045 175670 190520 233162 252872 316090 347699 351340 466324 582905 632180 691501 695398 702680 932648 1165810 1264360 1282391 1383002 1390796 1738495 2331620 2564782 2766004 2781592 3457505 3476990 4663240 5129564 5532008 6411955 6915010 6953980 7606511 10259128 12823910 13830020 13907960 15213022 25647820 27660040 30426044 38032555 50479573 51295640 60852088 76065110 100959146 152130220 201918292 252397865 304260440 403836584 504795730 555275303 1009591460 1110550606 2019182920 2221101212 2776376515 4442202424 5552753030 11105506060 22211012120