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12112233042 = 2371324736307
BaseRepresentation
bin10110100011111001…
…00000001001010010
31011021010022012010210
423101330200021102
5144301212424132
65321515104550
7606103165530
oct132174401122
934233265123
1012112233042
115156048a58
122420442156
1311b049c400
1482c8b5150
154ad53ebcc
hex2d1f20252

12112233042 has 96 divisors (see below), whose sum is σ = 30617229312. Its totient is φ = 3126382272.

The previous prime is 12112233037. The next prime is 12112233043. The reversal of 12112233042 is 24033221121.

It is a super-3 number, since 3×121122330423 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12112233043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315453 + ... + 351759.

It is an arithmetic number, because the mean of its divisors is an integer number (318929472).

Almost surely, 212112233042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112233042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15308614656).

12112233042 is an abundant number, since it is smaller than the sum of its proper divisors (18504996270).

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

12112233042 is a wasteful number, since it uses less digits than its factorization.

12112233042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36392 (or 36379 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12112233042 its reverse (24033221121), we get a palindrome (36145454163).

The spelling of 12112233042 in words is "twelve billion, one hundred twelve million, two hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 47 78 91 94 141 169 182 273 282 329 338 507 546 611 658 987 1014 1183 1222 1833 1974 2366 3549 3666 4277 7098 7943 8554 12831 15886 23829 25662 36307 47658 55601 72614 108921 111202 166803 217842 254149 333606 471991 508298 762447 943982 1415973 1524894 1706429 2831946 3303937 3412858 5119287 6135883 6607874 9911811 10238574 11945003 12271766 18407649 19823622 22183577 23890006 35835009 36815298 42951181 44367154 66550731 71670018 85902362 128853543 133101462 155285039 257707086 288386501 310570078 465855117 576773002 865159503 931710234 1730319006 2018705507 4037411014 6056116521 12112233042