Search a number
-
+
12200020022112 = 253139775657069
BaseRepresentation
bin1011000110001000100111…
…0111000001001101100000
31121012022101101001000110120
42301202021313001031200
53044341120111201422
641540340053200240
72366264604110016
oct261421167011540
947168341030416
1012200020022112
113983aaa2809aa
121450542030080
136a65c2bcc260
143026ac5d28b6
1516253ceec45c
hexb1889dc1360

12200020022112 has 48 divisors (see below), whose sum is σ = 34488518142960. Its totient is φ = 3753852314112.

The previous prime is 12200020022053. The next prime is 12200020022161. The reversal of 12200020022112 is 21122002000221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12200020022091 and 12200020022100.

It is a congruent number.

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, 4887827287 + ... + 4887829782.

It is an arithmetic number, because the mean of its divisors is an integer number (718510794645).

Almost surely, 212200020022112 is an apocalyptic number.

12200020022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12200020022112 is an abundant number, since it is smaller than the sum of its proper divisors (22288498120848).

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

12200020022112 is a wasteful number, since it uses less digits than its factorization.

12200020022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9775657095 (or 9775657087 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12200020022112 its reverse (21122002000221), we get a palindrome (33322022022333).

The spelling of 12200020022112 in words is "twelve trillion, two hundred billion, twenty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 9775657069 19551314138 29326971207 39102628276 58653942414 78205256552 117307884828 127083541897 156410513104 234615769656 254167083794 312821026208 381250625691 469231539312 508334167588 762501251382 938463078624 1016668335176 1525002502764 2033336670352 3050005005528 4066673340704 6100010011056 12200020022112