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332112122112020 = 225174572137418729
BaseRepresentation
bin100101110000011011110000…
…1000100000110100000010100
31121112220121102211000122002212
41023200313201010012200110
5322012311111230041040
63134202111434252552
7126645210662665325
oct11340674104064024
91545817384018085
10332112122112020
1196903a61872658
12312b9679887158
13113410671359c3
145c0245361a44c
15285dee9b91d65
hex12e0de1106814

332112122112020 has 48 divisors (see below), whose sum is σ = 740076960425040. Its totient is φ = 124756856315904.

The previous prime is 332112122112011. The next prime is 332112122112031. The reversal of 332112122112020 is 20211221211233.

It can be written as a sum of positive squares in 8 ways, for example, as 25856452085776 + 306255670026244 = 5084924^2 + 17500162^2 .

It is a super-2 number, since 2×3321121221120202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1068553985 + ... + 1068864744.

It is an arithmetic number, because the mean of its divisors is an integer number (15418270008855).

Almost surely, 2332112122112020 is an apocalyptic number.

It is an amenable number.

332112122112020 is an abundant number, since it is smaller than the sum of its proper divisors (407964838313020).

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

332112122112020 is a wasteful number, since it uses less digits than its factorization.

332112122112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137419212 (or 2137419210 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 332112122112020 its reverse (20211221211233), we get a palindrome (352323343323253).

The spelling of 332112122112020 in words is "three hundred thirty-two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 457 914 1828 2285 4570 7769 9140 15538 31076 38845 77690 155380 2137418729 4274837458 8549674916 10687093645 21374187290 36336118393 42748374580 72672236786 145344473572 181680591965 363361183930 726722367860 976800359153 1953600718306 3907201436612 4884001795765 9768003591530 16605606105601 19536007183060 33211212211202 66422424422404 83028030528005 166056061056010 332112122112020