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12430132000 = 2553111331701
BaseRepresentation
bin10111001001110010…
…01100001100100000
31012002021111010112021
423210321030030200
5200424103211000
65413232511224
7620013243616
oct134471141440
935067433467
1012430132000
1152a9538170
1224aa9ab514
1312312c61c0
1485cbc76b6
154cb3d711a
hex2e4e4c320

12430132000 has 384 divisors, whose sum is σ = 37090400256. Its totient is φ = 4032000000.

The previous prime is 12430131953. The next prime is 12430132009. The reversal of 12430132000 is 23103421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12430132009) 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, 17731650 + ... + 17732350.

It is an arithmetic number, because the mean of its divisors is an integer number (96589584).

Almost surely, 212430132000 is an apocalyptic number.

12430132000 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 12430132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18545200128).

12430132000 is an abundant number, since it is smaller than the sum of its proper divisors (24660268256).

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

12430132000 is a wasteful number, since it uses less digits than its factorization.

12430132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12430132000 its reverse (23103421), we get a palindrome (12453235421).

The spelling of 12430132000 in words is "twelve billion, four hundred thirty million, one hundred thirty-two thousand".