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122111400220 = 22518140018431
BaseRepresentation
bin111000110111001101…
…0000001100100011100
3102200012011010212002121
41301232122001210130
54000041004301340
6132032555032324
711552014530115
oct1615632014434
9380164125077
10122111400220
114787277a387
121b7baa3b6a4
13b690767204
145ca591d20c
15329a52094a
hex1c6e68191c

122111400220 has 48 divisors (see below), whose sum is σ = 257945740416. Its totient is φ = 48556800000.

The previous prime is 122111400167. The next prime is 122111400241. The reversal of 122111400220 is 22004111221.

It is a super-2 number, since 2×1221114002202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111400194 and 122111400203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14479405 + ... + 14487835.

It is an arithmetic number, because the mean of its divisors is an integer number (5373869592).

Almost surely, 2122111400220 is an apocalyptic number.

122111400220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111400220 is an abundant number, since it is smaller than the sum of its proper divisors (135834340196).

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

122111400220 is a wasteful number, since it uses less digits than its factorization.

122111400220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12622 (or 12620 counting only the distinct ones).

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

Adding to 122111400220 its reverse (22004111221), we get a palindrome (144115511441).

The spelling of 122111400220 in words is "one hundred twenty-two billion, one hundred eleven million, four hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 4001 8002 8431 16004 16862 20005 33724 40010 42155 80020 84310 168620 724181 1448362 1526011 2896724 3052022 3620905 6104044 7241810 7630055 14483620 15260110 30520220 33732431 67464862 134929724 168662155 337324310 674648620 6105570011 12211140022 24422280044 30527850055 61055700110 122111400220