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122022010110220 = 225113597192148781
BaseRepresentation
bin11011101111101001110110…
…100100010100000100001100
3121000001012010200112022222221
4123233221312210110010030
5111443202034042011340
61111304045414545124
734462541106426613
oct3357516644240414
9530035120468887
10122022010110220
1135975275666630
12118288243681a4
13531181a942aac
14221bc7ab7287a
15e19114aac44a
hex6efa7691410c

122022010110220 has 96 divisors (see below), whose sum is σ = 280710004377600. Its totient is φ = 44186480505600.

The previous prime is 122022010110193. The next prime is 122022010110229. The reversal of 122022010110220 is 22011010220221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122022010110194 and 122022010110203.

It is not an unprimeable number, because it can be changed into a prime (122022010110229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55712230 + ... + 57861010.

It is an arithmetic number, because the mean of its divisors is an integer number (2924062545600).

Almost surely, 2122022010110220 is an apocalyptic number.

122022010110220 is a gapful number since it is divisible by the number (10) 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 122022010110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140355002188800).

122022010110220 is an abundant number, since it is smaller than the sum of its proper divisors (158687994267380).

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

122022010110220 is a wasteful number, since it uses less digits than its factorization.

122022010110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149879 (or 2149877 counting only the distinct ones).

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

Adding to 122022010110220 its reverse (22011010220221), we get a palindrome (144033020330441).

The spelling of 122022010110220 in words is "one hundred twenty-two trillion, twenty-two billion, ten million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 359 718 719 1436 1438 1795 2876 3590 3595 3949 7180 7190 7898 7909 14380 15796 15818 19745 31636 39490 39545 78980 79090 158180 258121 516242 1032484 1290605 2148781 2581210 2839331 4297562 5162420 5678662 8595124 10743905 11357324 14196655 21487810 23636591 28393310 42975620 47273182 56786620 94546364 118182955 236365910 472731820 771412379 1542824758 1544973539 3085649516 3089947078 3857061895 6179894156 7714123790 7724867695 8485536169 15428247580 15449735390 16971072338 16994708929 30899470780 33942144676 33989417858 42427680845 67978835716 84855361690 84973544645 169710723380 169947089290 339894178580 554645500501 1109291001002 2218582002004 2773227502505 5546455005010 6101100505511 11092910010020 12202201011022 24404402022044 30505502527555 61011005055110 122022010110220