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122113200102012 = 22327701691264181
BaseRepresentation
bin11011110000111110110001…
…111010100001101001111100
3121000100220111212120212222100
4123300332301322201221330
5112001200313211231022
61111414010224545100
734502246635526160
oct3360766172415174
9530326455525870
10122113200102012
11359aaa0aa78109
1211842433782190
13531a2c1164012
14222244bb16ca0
15e1b6a06491ac
hex6f0fb1ea1a7c

122113200102012 has 72 divisors (see below), whose sum is σ = 353274707796192. Its totient is φ = 34839714672000.

The previous prime is 122113200101987. The next prime is 122113200102071. The reversal of 122113200102012 is 210201002311221.

122113200102012 is a `hidden beast` number, since 122 + 11 + 320 + 0 + 10 + 201 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345455439 + ... + 345808742.

It is an arithmetic number, because the mean of its divisors is an integer number (4906593163836).

Almost surely, 2122113200102012 is an apocalyptic number.

122113200102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122113200102012 is an abundant number, since it is smaller than the sum of its proper divisors (231161507694180).

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

122113200102012 is a wasteful number, since it uses less digits than its factorization.

122113200102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691264899 (or 691264894 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122113200102012 its reverse (210201002311221), we get a palindrome (332314202413233).

The spelling of 122113200102012 in words is "one hundred twenty-two trillion, one hundred thirteen billion, two hundred million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 701 1402 2103 2804 4206 4907 6309 8412 9814 12618 14721 19628 25236 29442 44163 58884 88326 176652 691264181 1382528362 2073792543 2765056724 4147585086 4838849267 6221377629 8295170172 9677698534 12442755258 14516547801 19355397068 24885510516 29033095602 43549643403 58066191204 87099286806 174198573612 484576190881 969152381762 1453728572643 1938304763524 2907457145286 3392033336167 4361185717929 5814914290572 6784066672334 8722371435858 10176100008501 13568133344668 17444742871716 20352200017002 30528300025503 40704400034004 61056600051006 122113200102012