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12120444312 = 2333748728027
BaseRepresentation
bin10110100100110111…
…10100110110011000
31011021200202100212220
423102123310312120
5144310313204222
65322411104040
7606233035224
oct132233646630
934250670786
1012120444312
11515a747229
122423142020
1311b20b5a52
1482da11784
154ae112b5c
hex2d26f4d98

12120444312 has 64 divisors (see below), whose sum is σ = 31185073920. Its totient is φ = 3922743168.

The previous prime is 12120444289. The next prime is 12120444331. The reversal of 12120444312 is 21344402121.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418443 + ... + 446469.

It is an arithmetic number, because the mean of its divisors is an integer number (487266780).

Almost surely, 212120444312 is an apocalyptic number.

12120444312 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 12120444312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15592536960).

12120444312 is an abundant number, since it is smaller than the sum of its proper divisors (19064629608).

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

12120444312 is a wasteful number, since it uses less digits than its factorization.

12120444312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28560 (or 28556 counting only the distinct ones).

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

Adding to 12120444312 its reverse (21344402121), we get a palindrome (33464846433).

The spelling of 12120444312 in words is "twelve billion, one hundred twenty million, four hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 487 888 974 1461 1948 2922 3896 5844 11688 18019 28027 36038 54057 56054 72076 84081 108114 112108 144152 168162 216228 224216 336324 432456 672648 1036999 2073998 3110997 4147996 6221994 8295992 12443988 13649149 24887976 27298298 40947447 54596596 81894894 109193192 163789788 327579576 505018513 1010037026 1515055539 2020074052 3030111078 4040148104 6060222156 12120444312