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122113908 = 223274153223
BaseRepresentation
bin1110100011101…
…00111101110100
322111210000210100
413101310331310
5222230121113
620041154100
73011644140
oct721647564
9274700710
10122113908
1162a25a94
1234a8b930
131c3b7167
141230a220
15aac1d73
hex7474f74

122113908 has 144 divisors (see below), whose sum is σ = 369847296. Its totient is φ = 33246720.

The previous prime is 122113883. The next prime is 122113913. The reversal of 122113908 is 809311221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 547485 + ... + 547707.

It is an arithmetic number, because the mean of its divisors is an integer number (2568384).

Almost surely, 2122113908 is an apocalyptic number.

122113908 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122113908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

122113908 is an abundant number, since it is smaller than the sum of its proper divisors (247733388).

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

122113908 is a wasteful number, since it uses less digits than its factorization.

122113908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 122113908 is about 11050.5161870385. The cubic root of 122113908 is about 496.1218754011.

It can be divided in two parts, 1221 and 13908, that added together give a square (15129 = 1232).

The spelling of 122113908 in words is "one hundred twenty-two million, one hundred thirteen thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 53 63 82 84 106 123 126 159 164 212 223 246 252 287 318 369 371 446 477 492 574 636 669 738 742 861 892 954 1113 1148 1338 1476 1484 1561 1722 1908 2007 2173 2226 2583 2676 3122 3339 3444 4014 4346 4452 4683 5166 6244 6519 6678 8028 8692 9143 9366 10332 11819 13038 13356 14049 15211 18286 18732 19557 23638 26076 27429 28098 30422 35457 36572 39114 45633 47276 54858 56196 60844 64001 70914 78228 82287 82733 91266 106371 109716 128002 136899 141828 164574 165466 182532 192003 212742 248199 256004 273798 329148 330932 384006 425484 484579 496398 547596 576009 744597 768012 969158 992796 1152018 1453737 1489194 1938316 2304036 2907474 2978388 3392053 4361211 5814948 6784106 8722422 10176159 13568212 17444844 20352318 30528477 40704636 61056954 122113908