Search a number
-
+
12103221312 = 2633713194051
BaseRepresentation
bin10110100010110100…
…01000000001000000
31011020111100100101000
423101122020001000
5144241411040222
65320554012000
7605633453340
oct132132100100
934214310330
1012103221312
115150a53346
122419417000
1311ab665620
1482b60ad20
154ac85e9ac
hex2d1688040

12103221312 has 448 divisors, whose sum is σ = 46108518400. Its totient is φ = 3023308800.

The previous prime is 12103221287. The next prime is 12103221337. The reversal of 12103221312 is 21312230121.

12103221312 is a `hidden beast` number, since 1 + 210 + 322 + 131 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12103221287) and next prime (12103221337).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×121032213122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2985687 + ... + 2989737.

It is an arithmetic number, because the mean of its divisors is an integer number (102920800).

Almost surely, 212103221312 is an apocalyptic number.

12103221312 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 12103221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23054259200).

12103221312 is an abundant number, since it is smaller than the sum of its proper divisors (34005297088).

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

12103221312 is a wasteful number, since it uses less digits than its factorization.

12103221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4111 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12103221312 its reverse (21312230121), we get a palindrome (33415451433).

The spelling of 12103221312 in words is "twelve billion, one hundred three million, two hundred twenty-one thousand, three hundred twelve".