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123212222120 = 23513236946581
BaseRepresentation
bin111001011000000000…
…1010100111010101000
3102210000212112101212002
41302300001110322220
54004314312101440
6132334121310132
711621212415321
oct1626001247250
9383025471762
10123212222120
11482880a6149
121ba67635348
13b807845010
145d6bbd3448
153311eba115
hex1cb0054ea8

123212222120 has 32 divisors (see below), whose sum is σ = 298552693320. Its totient is φ = 45493743360.

The previous prime is 123212222057. The next prime is 123212222137. The reversal of 123212222120 is 21222212321.

123212222120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 59634616804 + 63577605316 = 244202^2 + 252146^2 .

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 = 123212222092 and 123212222101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118472771 + ... + 118473810.

Almost surely, 2123212222120 is an apocalyptic number.

123212222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123212222120 is an abundant number, since it is smaller than the sum of its proper divisors (175340471200).

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

123212222120 is a wasteful number, since it uses less digits than its factorization.

123212222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236946605 (or 236946601 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 123212222120 its reverse (21222212321), we get a palindrome (144434434441).

The spelling of 123212222120 in words is "one hundred twenty-three billion, two hundred twelve million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 236946581 473893162 947786324 1184732905 1895572648 2369465810 3080305553 4738931620 6160611106 9477863240 12321222212 15401527765 24642444424 30803055530 61606111060 123212222120