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123210000120 = 23354323877907
BaseRepresentation
bin111001010111111100…
…0110110011011111000
3102210000201100111211210
41302233320312123320
54004313230000440
6132334001523120
711621154502224
oct1625770663370
9383021314753
10123210000120
1148286918789
121ba669434a0
13b80724781c
145d6b7b5784
153311bcba80
hex1cafe366f8

123210000120 has 64 divisors (see below), whose sum is σ = 378226062720. Its totient is φ = 32091905664.

The previous prime is 123210000113. The next prime is 123210000127. The reversal of 123210000120 is 21000012321.

It is an interprime number because it is at equal distance from previous prime (123210000113) and next prime (123210000127).

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 = 123210000096 and 123210000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123210000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11933794 + ... + 11944113.

It is an arithmetic number, because the mean of its divisors is an integer number (5909782230).

Almost surely, 2123210000120 is an apocalyptic number.

123210000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123210000120 is an abundant number, since it is smaller than the sum of its proper divisors (255016062600).

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

123210000120 is a wasteful number, since it uses less digits than its factorization.

123210000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23877964 (or 23877960 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 123210000120 its reverse (21000012321), we get a palindrome (144210012441).

The spelling of 123210000120 in words is "one hundred twenty-three billion, two hundred ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 23877907 47755814 71633721 95511628 119389535 143267442 191023256 238779070 286534884 358168605 477558140 573069768 716337210 955116280 1026750001 1432674420 2053500002 2865348840 3080250003 4107000004 5133750005 6160500006 8214000008 10267500010 12321000012 15401250015 20535000020 24642000024 30802500030 41070000040 61605000060 123210000120