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1221323112 = 233217997813
BaseRepresentation
bin100100011001011…
…1110100101101000
310011010010122100100
41020302332211220
510000124314422
6321105105400
742160034532
oct11062764550
93133118310
101221323112
11577450149
122a1028260
1316604bbc9
14b82c0852
157234d7ac
hex48cbe968

1221323112 has 48 divisors (see below), whose sum is σ = 3502327140. Its totient is φ = 383159808.

The previous prime is 1221323063. The next prime is 1221323119. The reversal of 1221323112 is 2113231221.

It can be written as a sum of positive squares in 2 ways, for example, as 1072824516 + 148498596 = 32754^2 + 12186^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (1221323119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497683 + ... + 500130.

Almost surely, 21221323112 is an apocalyptic number.

1221323112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1221323112 is an abundant number, since it is smaller than the sum of its proper divisors (2281004028).

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

1221323112 is a wasteful number, since it uses less digits than its factorization.

1221323112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997842 (or 997835 counting only the distinct ones).

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

The square root of 1221323112 is about 34947.4335538391. The cubic root of 1221323112 is about 1068.9158705107.

Adding to 1221323112 its reverse (2113231221), we get a palindrome (3334554333).

The spelling of 1221323112 in words is "one billion, two hundred twenty-one million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 997813 1995626 2993439 3991252 5986878 7982504 8980317 11973756 16962821 17960634 23947512 33925642 35921268 50888463 67851284 71842536 101776926 135702568 152665389 203553852 305330778 407107704 610661556 1221323112