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20021001121220 = 22511472269853357
BaseRepresentation
bin1001000110101100000001…
…01010001110110111000100
32121212222200222210000001012
410203112000222032313010
510111011002241334340
6110325304305021352
74134320033426351
oct443260052166704
977788628700035
1020021001121220
11641994a206270
1222b4254924858
13b22c841cbc98
144d30434a3628
1524abd3955565
hex123580a8edc4

20021001121220 has 96 divisors (see below), whose sum is σ = 46862871390720. Its totient is φ = 7122313981440.

The previous prime is 20021001121213. The next prime is 20021001121229. The reversal of 20021001121220 is 2212110012002.

It is a junction number, because it is equal to n+sod(n) for n = 20021001121195 and 20021001121204.

It is not an unprimeable number, because it can be changed into a prime (20021001121229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23034782 + ... + 23888138.

It is an arithmetic number, because the mean of its divisors is an integer number (488154910320).

Almost surely, 220021001121220 is an apocalyptic number.

20021001121220 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 20021001121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23431435695360).

20021001121220 is an abundant number, since it is smaller than the sum of its proper divisors (26841870269500).

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

20021001121220 is a wasteful number, since it uses less digits than its factorization.

20021001121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855693 (or 855691 counting only the distinct ones).

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

Adding to 20021001121220 its reverse (2212110012002), we get a palindrome (22233111133222).

The spelling of 20021001121220 in words is "twenty trillion, twenty-one billion, one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2269 2585 4538 5170 9076 10340 11345 22690 24959 45380 49918 99836 106643 124795 213286 249590 426572 499180 533215 853357 1066430 1173073 1706714 2132860 2346146 3413428 4266785 4692292 5865365 8533570 9386927 11730730 17067140 18773854 23461460 37547708 40107779 46934635 80215558 93869270 160431116 187738540 200538895 401077790 441185569 802155580 882371138 1764742276 1936267033 2205927845 3872534066 4411855690 7745068132 8823711380 9681335165 19362670330 21298937363 38725340660 42597874726 85195749452 91004550551 106494686815 182009101102 212989373630 364018202204 425978747260 455022752755 910045505510 1001050056061 1820091011020 2002100112122 4004200224244 5005250280305 10010500560610 20021001121220