Search a number
-
+
22212202121120 = 2551196713051261
BaseRepresentation
bin1010000110011101011100…
…11010101100011110100000
32220122110120120001000112002
411003032232122230132200
510402411042220333440
6115124051135023132
74451531034551054
oct503165632543640
986573516030462
1022212202121120
117094162032240
1225a8a5966aaa8
13c517a8b4968b
1456b10d5c1c64
15287bcc681115
hex1433ae6ac7a0

22212202121120 has 96 divisors (see below), whose sum is σ = 57306107650176. Its totient is φ = 8068810982400.

The previous prime is 22212202121119. The next prime is 22212202121159. The reversal of 22212202121120 is 2112120221222.

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

It is a junction number, because it is equal to n+sod(n) for n = 22212202121092 and 22212202121101.

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, 4823711 + ... + 8227550.

It is an arithmetic number, because the mean of its divisors is an integer number (596938621356).

Almost surely, 222212202121120 is an apocalyptic number.

22212202121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212202121120 is an abundant number, since it is smaller than the sum of its proper divisors (35093905529056).

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

22212202121120 is a wasteful number, since it uses less digits than its factorization.

22212202121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13052254 (or 13052246 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22212202121120 its reverse (2112120221222), we get a palindrome (24324322342342).

It can be divided in two parts, 22212202 and 121120, that added together give a palindrome (22333322).

The spelling of 22212202121120 in words is "twenty-two trillion, two hundred twelve billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 967 1760 1934 3868 4835 7736 9670 10637 15472 19340 21274 30944 38680 42548 53185 77360 85096 106370 154720 170192 212740 340384 425480 850960 1701920 13051261 26102522 52205044 65256305 104410088 130512610 143563871 208820176 261025220 287127742 417640352 522050440 574255484 717819355 1044100880 1148510968 1435638710 2088201760 2297021936 2871277420 4594043872 5742554840 11485109680 12620569387 22970219360 25241138774 50482277548 63102846935 100964555096 126205693870 138826263257 201929110192 252411387740 277652526514 403858220384 504822775480 555305053028 694131316285 1009645550960 1110610106056 1388262632570 2019291101920 2221220212112 2776525265140 4442440424224 5553050530280 11106101060560 22212202121120