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20021212101220 = 22511229382374623
BaseRepresentation
bin1001000110101100011010…
…01111000011101001100100
32121220000020200202220012021
410203112031033003221210
510111011420244214340
6110325341243032524
74134325204634401
oct443261517035144
977800220686167
1020021212101220
116419a48308700
1222b42b350b744
13b22cb8b2bc15
144d30635032a8
1524abe722ce4a
hex12358d3c3a64

20021212101220 has 144 divisors (see below), whose sum is σ = 47820993454080. Its totient is φ = 7027458197760.

The previous prime is 20021212101161. The next prime is 20021212101227. The reversal of 20021212101220 is 2210121212002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20021212101194 and 20021212101203.

It is not an unprimeable number, because it can be changed into a prime (20021212101227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268260829 + ... + 268335451.

It is an arithmetic number, because the mean of its divisors is an integer number (332090232320).

Almost surely, 220021212101220 is an apocalyptic number.

20021212101220 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 20021212101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23910496727040).

20021212101220 is an abundant number, since it is smaller than the sum of its proper divisors (27799781352860).

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

20021212101220 is a wasteful number, since it uses less digits than its factorization.

20021212101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78506 (or 78493 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20021212101220 its reverse (2210121212002), we get a palindrome (22231333313222).

The spelling of 20021212101220 in words is "twenty trillion, twenty-one billion, two hundred twelve million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 121 145 220 242 290 319 484 580 605 638 1210 1276 1595 2420 3190 3509 3823 6380 7018 7646 14036 15292 17545 19115 35090 38230 42053 70180 74623 76460 84106 110867 149246 168212 210265 221734 298492 373115 420530 443468 462583 554335 746230 820853 841060 925166 1108670 1219537 1492460 1641706 1850332 2164067 2217340 2312915 2439074 3283412 4104265 4328134 4625830 4878148 6097685 8208530 8656268 9029383 9251660 10820335 12195370 13414907 16417060 18058766 21640670 23804737 24390740 26829814 36117532 43281340 45146915 47609474 53659628 67074535 90293830 95218948 119023685 134149070 180587660 238047370 261852107 268298140 285283729 476094740 523704214 570567458 1047408428 1141134916 1309260535 1426418645 2618521070 2852837290 3138121019 5237042140 5705674580 6276242038 8273228141 12552484076 15690605095 16546456282 31381210190 33092912564 34519331209 41366140705 62762420380 69038662418 82732281410 91005509551 138077324836 165464562820 172596656045 182011019102 345193312090 364022038204 455027547755 690386624180 910055095510 1001060605061 1820110191020 2002121210122 4004242420244 5005303025305 10010606050610 20021212101220