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122034220 = 225711109727
BaseRepresentation
bin1110100011000…
…01100000101100
322111121222110221
413101201200230
5222220043340
620035341124
73011162620
oct721414054
9274558427
10122034220
1162981130
1234a517a4
131c389ac9
14122c9180
15aaa844a
hex746182c

122034220 has 96 divisors (see below), whose sum is σ = 322882560. Its totient is φ = 37635840.

The previous prime is 122034217. The next prime is 122034247. The reversal of 122034220 is 22430221.

It is a junction number, because it is equal to n+sod(n) for n = 122034194 and 122034203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167497 + ... + 168223.

It is an arithmetic number, because the mean of its divisors is an integer number (3363360).

Almost surely, 2122034220 is an apocalyptic number.

122034220 is a gapful number since it is divisible by the number (10) 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 122034220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161441280).

122034220 is an abundant number, since it is smaller than the sum of its proper divisors (200848340).

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

122034220 is a wasteful number, since it uses less digits than its factorization.

122034220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 122034220 is about 11046.9099751922. The cubic root of 122034220 is about 496.0139336616.

Adding to 122034220 its reverse (22430221), we get a palindrome (144464441).

The spelling of 122034220 in words is "one hundred twenty-two million, thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 109 110 140 154 218 220 308 385 436 545 727 763 770 1090 1199 1454 1526 1540 2180 2398 2908 3052 3635 3815 4796 5089 5995 7270 7630 7997 8393 10178 11990 14540 15260 15994 16786 20356 23980 25445 31988 33572 39985 41965 50890 55979 79243 79970 83930 101780 111958 158486 159940 167860 223916 279895 316972 396215 554701 559790 792430 871673 1109402 1119580 1584860 1743346 2218804 2773505 3486692 4358365 5547010 6101711 8716730 11094020 12203422 17433460 24406844 30508555 61017110 122034220