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12211223140 = 2252921053833
BaseRepresentation
bin10110101111101100…
…00111101001100100
31011112000120102000201
423113312013221210
5200002033120030
65335412520244
7611414453434
oct132766075144
934460512021
1012211223140
1151a6a0a756
122449620084
1311c7b4b32c
1483bac22c4
154b70952ca
hex2d7d87a64

12211223140 has 24 divisors (see below), whose sum is σ = 26527830840. Its totient is φ = 4716058368.

The previous prime is 12211223093. The next prime is 12211223147. The reversal of 12211223140 is 4132211221.

It can be written as a sum of positive squares in 4 ways, for example, as 6718464 + 12204504676 = 2592^2 + 110474^2 .

It is a super-2 number, since 2×122112231402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211223147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10526337 + ... + 10527496.

It is an arithmetic number, because the mean of its divisors is an integer number (1105326285).

Almost surely, 212211223140 is an apocalyptic number.

12211223140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211223140 is an abundant number, since it is smaller than the sum of its proper divisors (14316607700).

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

12211223140 is a wasteful number, since it uses less digits than its factorization.

12211223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21053871 (or 21053869 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12211223140 its reverse (4132211221), we get a palindrome (16343434361).

The spelling of 12211223140 in words is "twelve billion, two hundred eleven million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 21053833 42107666 84215332 105269165 210538330 421076660 610561157 1221122314 2442244628 3052805785 6105611570 12211223140