Search a number
-
+
122101122102112 = 2541613151818727
BaseRepresentation
bin11011110000110011100010…
…000000100111001101100000
3121000022202100010200220212201
4123300303202000213031200
5112001001044224231422
61111404251531302544
734501341426316366
oct3360634200471540
9530282303626781
10122101122102112
11359a588229100a
12118400228aaa54
135319117abc60a
142221a239d3636
15e1b1e511c727
hex6f0ce2027360

122101122102112 has 48 divisors (see below), whose sum is σ = 246651385532832. Its totient is φ = 59464358599680.

The previous prime is 122101122102109. The next prime is 122101122102163. The reversal of 122101122102112 is 211201221101221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 122101122102112.

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, 75105108 + ... + 76713619.

It is an arithmetic number, because the mean of its divisors is an integer number (5138570531934).

Almost surely, 2122101122102112 is an apocalyptic number.

It is an amenable number.

122101122102112 is an abundant number, since it is smaller than the sum of its proper divisors (124550263430720).

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

122101122102112 is a wasteful number, since it uses less digits than its factorization.

122101122102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151819391 (or 151819383 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122101122102112 its reverse (211201221101221), we get a palindrome (333302343203333).

The spelling of 122101122102112 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty-two million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 164 328 613 656 1226 1312 2452 4904 9808 19616 25133 50266 100532 201064 402128 804256 151818727 303637454 607274908 1214549816 2429099632 4858199264 6224567807 12449135614 24898271228 49796542456 93064879651 99593084912 186129759302 199186169824 372259518604 744519037208 1489038074416 2978076148832 3815660065691 7631320131382 15262640262764 30525280525528 61050561051056 122101122102112