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12231244400340 = 22357221119879923
BaseRepresentation
bin1011000111111100111011…
…1110100100011011010100
31121022021222110012210000110
42301333032332210123110
53100344042031302330
642002542304043020
72401451431666500
oct261771676443324
947267873183013
1012231244400340
113996272661469
1214565b7003470
136a952ab429c4
14303dd14b5300
15163269379db0
hexb1fcefa46d4

12231244400340 has 288 divisors, whose sum is σ = 40051900998144. Its totient is φ = 2780782583040.

The previous prime is 12231244400281. The next prime is 12231244400383. The reversal of 12231244400340 is 4300444213221.

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 = 12231244400298 and 12231244400307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1232610619 + ... + 1232620541.

It is an arithmetic number, because the mean of its divisors is an integer number (139069100688).

Almost surely, 212231244400340 is an apocalyptic number.

12231244400340 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 12231244400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20025950499072).

12231244400340 is an abundant number, since it is smaller than the sum of its proper divisors (27820656597804).

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

12231244400340 is a wasteful number, since it uses less digits than its factorization.

12231244400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12147 (or 12138 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 12231244400340 its reverse (4300444213221), we get a palindrome (16531688613561).

The spelling of 12231244400340 in words is "twelve trillion, two hundred thirty-one billion, two hundred forty-four million, four hundred thousand, three hundred forty".