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12232125420 = 22352316753077
BaseRepresentation
bin10110110010001011…
…10110101111101100
31011120110220100120020
423121011312233230
5200022411003140
65341440522140
7612060231144
oct133105665754
934513810506
1012232125420
115207796969
122454620350
1311cc289348
148407a3924
154b8d236d0
hex2d9176bec

12232125420 has 96 divisors (see below), whose sum is σ = 35953763328. Its totient is φ = 3101336832.

The previous prime is 12232125391. The next prime is 12232125427. The reversal of 12232125420 is 2452123221.

It is a super-2 number, since 2×122321254202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12232125427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203922 + ... + 256998.

It is an arithmetic number, because the mean of its divisors is an integer number (374518368).

Almost surely, 212232125420 is an apocalyptic number.

12232125420 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 12232125420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17976881664).

12232125420 is an abundant number, since it is smaller than the sum of its proper divisors (23721637908).

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

12232125420 is a wasteful number, since it uses less digits than its factorization.

12232125420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53279 (or 53277 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12232125420 its reverse (2452123221), we get a palindrome (14684248641).

It can be divided in two parts, 122321 and 25420, that added together give a palindrome (147741).

The spelling of 12232125420 in words is "twelve billion, two hundred thirty-two million, one hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 167 230 276 334 345 460 501 668 690 835 1002 1380 1670 2004 2505 3340 3841 5010 7682 10020 11523 15364 19205 23046 38410 46092 53077 57615 76820 106154 115230 159231 212308 230460 265385 318462 530770 636924 796155 1061540 1220771 1592310 2441542 3184620 3662313 4883084 6103855 7324626 8863859 12207710 14649252 17727718 18311565 24415420 26591577 35455436 36623130 44319295 53183154 73246260 88638590 106366308 132957885 177277180 203868757 265915770 407737514 531831540 611606271 815475028 1019343785 1223212542 2038687570 2446425084 3058031355 4077375140 6116062710 12232125420