Search a number
-
+
12238797312 = 29327537159
BaseRepresentation
bin10110110010111110…
…10011101000000000
31011120221110022200100
423121133103220000
5200031113003222
65342235522400
7612201026550
oct133137235000
934527408610
1012238797312
115210533625
1224568b9400
131200784101
1484161d160
154b96e04ac
hex2d97d3a00

12238797312 has 240 divisors, whose sum is σ = 41135402880. Its totient is φ = 3430342656.

The previous prime is 12238797293. The next prime is 12238797331. The reversal of 12238797312 is 21379783221.

12238797312 is a `hidden beast` number, since 12 + 238 + 7 + 97 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (12238797293) and next prime (12238797331).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1705989 + ... + 1713147.

It is an arithmetic number, because the mean of its divisors is an integer number (171397512).

Almost surely, 212238797312 is an apocalyptic number.

12238797312 is a gapful number since it is divisible by the number (12) 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 12238797312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20567701440).

12238797312 is an abundant number, since it is smaller than the sum of its proper divisors (28896605568).

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

12238797312 is an equidigital number, since it uses as much as digits as its factorization.

12238797312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7243 (or 7224 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 12238797312 in words is "twelve billion, two hundred thirty-eight million, seven hundred ninety-seven thousand, three hundred twelve".