Search a number
-
+
12342500120 = 2352333140531
BaseRepresentation
bin10110111111010101…
…11001101100011000
31011212011120222012002
423133222321230120
5200234140000440
65400422340132
7614600343236
oct133752715430
934764528162
1012342500120
115264024025
12248558a648
1312190c3112
148512d5956
154c3877115
hex2dfab9b18

12342500120 has 64 divisors (see below), whose sum is σ = 29066307840. Its totient is φ = 4707964800.

The previous prime is 12342500119. The next prime is 12342500129. The reversal of 12342500120 is 2100524321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12342500092 and 12342500101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342500129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284255 + ... + 324785.

It is an arithmetic number, because the mean of its divisors is an integer number (454161060).

Almost surely, 212342500120 is an apocalyptic number.

12342500120 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 12342500120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14533153920).

12342500120 is an abundant number, since it is smaller than the sum of its proper divisors (16723807720).

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

12342500120 is a wasteful number, since it uses less digits than its factorization.

12342500120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40896 (or 40892 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 12342500120 in words is "twelve billion, three hundred forty-two million, five hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 331 460 662 920 1324 1655 2648 3310 6620 7613 13240 15226 30452 38065 40531 60904 76130 81062 152260 162124 202655 304520 324248 405310 810620 932213 1621240 1864426 3728852 4661065 7457704 9322130 13415761 18644260 26831522 37288520 53663044 67078805 107326088 134157610 268315220 308562503 536630440 617125006 1234250012 1542812515 2468500024 3085625030 6171250060 12342500120