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12354252240 = 243511171511823
BaseRepresentation
bin10111000000101111…
…01110110111010000
31011212222201001001210
423200113232313100
5200300142032430
65401522300120
7615102261051
oct134027566720
934788631053
1012354252240
11526a720620
1224894b7640
13121b679335
14852ab4728
154c48e92b0
hex2e05eedd0

12354252240 has 320 divisors, whose sum is σ = 44554862592. Its totient is φ = 2798592000.

The previous prime is 12354252221. The next prime is 12354252241. The reversal of 12354252240 is 4225245321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12354252198 and 12354252207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12354252241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6775969 + ... + 6777791.

Almost surely, 212354252240 is an apocalyptic number.

12354252240 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 12354252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22277431296).

12354252240 is an abundant number, since it is smaller than the sum of its proper divisors (32200610352).

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

12354252240 is a wasteful number, since it uses less digits than its factorization.

12354252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 12354252240 its reverse (4225245321), we get a palindrome (16579497561).

The spelling of 12354252240 in words is "twelve billion, three hundred fifty-four million, two hundred fifty-two thousand, two hundred forty".