Search a number
-
+
12102443004120 = 23357711567129499
BaseRepresentation
bin1011000000011101000111…
…0100001111000011011000
31120211222112001122220200020
42300013101310033003120
53041241300402112440
641423441403110440
72356241551124010
oct260072164170330
946758461586606
1012102443004120
113946687625077
12143564b812420
1369a342393ca1
142dba93294c40
1515ec2b8783d0
hexb01d1d0f0d8

12102443004120 has 256 divisors, whose sum is σ = 42105692160000. Its totient is φ = 2725549585920.

The previous prime is 12102443004103. The next prime is 12102443004131. The reversal of 12102443004120 is 2140034420121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93391131 + ... + 93520629.

It is an arithmetic number, because the mean of its divisors is an integer number (164475360000).

Almost surely, 212102443004120 is an apocalyptic number.

12102443004120 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 12102443004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21052846080000).

12102443004120 is an abundant number, since it is smaller than the sum of its proper divisors (30003249155880).

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

12102443004120 is a wasteful number, since it uses less digits than its factorization.

12102443004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131158 (or 131154 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12102443004120 its reverse (2140034420121), we get a palindrome (14242477424241).

The spelling of 12102443004120 in words is "twelve trillion, one hundred two billion, four hundred forty-three million, four thousand, one hundred twenty".