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12132021020 = 22573710123189
BaseRepresentation
bin10110100110001111…
…11111001100011100
31011022111112112010212
423103013333030130
5144321244133040
65323503151552
7606433322450
oct132307771434
934274475125
1012132021020
115166233a59
122426ba55b8
1311b460a182
14831386660
154b014cd65
hex2d31ff31c

12132021020 has 96 divisors (see below), whose sum is σ = 30201171840. Its totient is φ = 4006886400.

The previous prime is 12132021019. The next prime is 12132021043. The reversal of 12132021020 is 2012023121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12132020986 and 12132021004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511586 + ... + 534774.

It is an arithmetic number, because the mean of its divisors is an integer number (314595540).

Almost surely, 212132021020 is an apocalyptic number.

12132021020 is a gapful number since it is divisible by the number (10) 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 12132021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15100585920).

12132021020 is an abundant number, since it is smaller than the sum of its proper divisors (18069150820).

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

12132021020 is a wasteful number, since it uses less digits than its factorization.

12132021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23343 (or 23341 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12132021020 its reverse (2012023121), we get a palindrome (14144044141).

The spelling of 12132021020 in words is "twelve billion, one hundred thirty-two million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 101 140 148 185 202 259 370 404 505 518 707 740 1010 1036 1295 1414 2020 2590 2828 3535 3737 5180 7070 7474 14140 14948 18685 23189 26159 37370 46378 52318 74740 92756 104636 115945 130795 162323 231890 261590 324646 463780 523180 649292 811615 857993 1623230 1715986 2342089 3246460 3431972 4289965 4684178 6005951 8579930 9368356 11710445 12011902 16394623 17159860 23420890 24023804 30029755 32789246 46841780 60059510 65578492 81973115 86657293 120119020 163946230 173314586 327892460 346629172 433286465 606601051 866572930 1213202102 1733145860 2426404204 3033005255 6066010510 12132021020