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1233213012 = 2234191631229
BaseRepresentation
bin100100110000001…
…0101011001010100
310011221111201020000
41021200111121110
510011200304022
6322212011300
742363065133
oct11140253124
93157451200
101233213012
11583131209
122a5000b30
13168652a55
14b9ad791a
15733eb6ac
hex49815654

1233213012 has 120 divisors (see below), whose sum is σ = 3417136800. Its totient is φ = 386731584.

The previous prime is 1233212999. The next prime is 1233213013. The reversal of 1233213012 is 2103123321.

It is a super-2 number, since 2×12332130122 = 3041628665932224288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233213013) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1002814 + ... + 1004042.

It is an arithmetic number, because the mean of its divisors is an integer number (28476140).

Almost surely, 21233213012 is an apocalyptic number.

1233213012 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 1233213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708568400).

1233213012 is an abundant number, since it is smaller than the sum of its proper divisors (2183923788).

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

1233213012 is a wasteful number, since it uses less digits than its factorization.

1233213012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1233213012 is about 35117.1327417259. The cubic root of 1233213012 is about 1072.3733998934.

Adding to 1233213012 its reverse (2103123321), we get a palindrome (3336336333).

The spelling of 1233213012 in words is "one billion, two hundred thirty-three million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 163 171 228 324 326 342 489 513 652 684 978 1026 1229 1467 1539 1956 2052 2458 2934 3078 3097 3687 4401 4916 5868 6156 6194 7374 8802 9291 11061 12388 13203 14748 17604 18582 22122 23351 26406 27873 33183 37164 44244 46702 52812 55746 66366 70053 83619 93404 99549 111492 132732 140106 167238 199098 200327 210159 250857 280212 334476 398196 400654 420318 501714 600981 630477 801308 840636 1003428 1201962 1260954 1802943 1891431 2403924 2521908 3605886 3782862 3806213 5408829 7211772 7565724 7612426 10817658 11418639 15224852 16226487 21635316 22837278 32452974 34255917 45674556 64905948 68511834 102767751 137023668 205535502 308303253 411071004 616606506 1233213012