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122034120 = 233513137571
BaseRepresentation
bin1110100011000…
…01011111001000
322111121222100020
413101201133020
5222220042440
620035340440
73011162415
oct721413710
9274558306
10122034120
116298104a
1234a51720
131c389a50
14122c910c
15aaa83d0
hex74617c8

122034120 has 128 divisors (see below), whose sum is σ = 397837440. Its totient is φ = 29767680.

The previous prime is 122034119. The next prime is 122034127. The reversal of 122034120 is 21430221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122034120.

It is not an unprimeable number, because it can be changed into a prime (122034127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213435 + ... + 214005.

It is an arithmetic number, because the mean of its divisors is an integer number (3108105).

Almost surely, 2122034120 is an apocalyptic number.

122034120 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 122034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198918720).

122034120 is an abundant number, since it is smaller than the sum of its proper divisors (275803320).

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

122034120 is a wasteful number, since it uses less digits than its factorization.

122034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 122034120 is about 11046.9054490387. The cubic root of 122034120 is about 496.0137981767.

Adding to 122034120 its reverse (21430221), we get a palindrome (143464341).

The spelling of 122034120 in words is "one hundred twenty-two million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 137 156 195 260 274 312 390 411 520 548 571 685 780 822 1096 1142 1370 1560 1644 1713 1781 2055 2284 2740 2855 3288 3426 3562 4110 4568 5343 5480 5710 6852 7124 7423 8220 8565 8905 10686 11420 13704 14248 14846 16440 17130 17810 21372 22269 22840 26715 29692 34260 35620 37115 42744 44538 53430 59384 68520 71240 74230 78227 89076 106860 111345 148460 156454 178152 213720 222690 234681 296920 312908 391135 445380 469362 625816 782270 890760 938724 1016951 1173405 1564540 1877448 2033902 2346810 3050853 3129080 4067804 4693620 5084755 6101706 8135608 9387240 10169510 12203412 15254265 20339020 24406824 30508530 40678040 61017060 122034120