Search a number
-
+
124020120 = 23357191773
BaseRepresentation
bin1110110010001…
…10010110011000
322122100212121210
413121012112120
5223222120440
620150103120
73034103460
oct731062630
9278325553
10124020120
1164008174
123564aaa0
131c9039b3
1412684ba0
15ad4ba80
hex7646598

124020120 has 128 divisors (see below), whose sum is σ = 427991040. Its totient is φ = 28162560.

The previous prime is 124020101. The next prime is 124020133. The reversal of 124020120 is 21020421.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 124020096 and 124020105.

It is a congruent number.

It is an unprimeable number.

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, 160054 + ... + 160826.

It is an arithmetic number, because the mean of its divisors is an integer number (3343680).

Almost surely, 2124020120 is an apocalyptic number.

124020120 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 124020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213995520).

124020120 is an abundant number, since it is smaller than the sum of its proper divisors (303970920).

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

124020120 is a wasteful number, since it uses less digits than its factorization.

124020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 124020120 is about 11136.4321036856. The cubic root of 124020120 is about 498.6900644682.

Adding to 124020120 its reverse (21020421), we get a palindrome (145040541).

The spelling of 124020120 in words is "one hundred twenty-four million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 191 210 280 382 420 573 764 773 840 955 1146 1337 1528 1546 1910 2292 2319 2674 2865 3092 3820 3865 4011 4584 4638 5348 5411 5730 6184 6685 7640 7730 8022 9276 10696 10822 11460 11595 13370 15460 16044 16233 18552 20055 21644 22920 23190 26740 27055 30920 32088 32466 40110 43288 46380 53480 54110 64932 80220 81165 92760 108220 129864 147643 160440 162330 216440 295286 324660 442929 590572 649320 738215 885858 1033501 1181144 1476430 1771716 2067002 2214645 2952860 3100503 3543432 4134004 4429290 5167505 5905720 6201006 8268008 8858580 10335010 12402012 15502515 17717160 20670020 24804024 31005030 41340040 62010060 124020120