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12130244120 = 2352912018707
BaseRepresentation
bin10110100110000010…
…01101011000011000
31011022101012020200202
423103001031120120
5144320320302440
65323401121332
7606412242131
oct132301153030
934271166622
1012130244120
11516522aa45
122426489248
1311b4137457
14831042c88
154aedeb615
hex2d304d618

12130244120 has 64 divisors (see below), whose sum is σ = 28260943200. Its totient is φ = 4680345600.

The previous prime is 12130244117. The next prime is 12130244123. The reversal of 12130244120 is 2144203121.

It is an interprime number because it is at equal distance from previous prime (12130244117) and next prime (12130244123).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12130244092 and 12130244101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130244123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1388807 + ... + 1397513.

Almost surely, 212130244120 is an apocalyptic number.

12130244120 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 12130244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14130471600).

12130244120 is an abundant number, since it is smaller than the sum of its proper divisors (16130699080).

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

12130244120 is a wasteful number, since it uses less digits than its factorization.

12130244120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9948 (or 9944 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

12130244120 divided by its sum of digits (20) gives a triangular number (606512206 = T34828).

Adding to 12130244120 its reverse (2144203121), we get a palindrome (14274447241).

The spelling of 12130244120 in words is "twelve billion, one hundred thirty million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1201 2402 4804 6005 8707 9608 12010 17414 24020 34828 34829 43535 48040 69656 69658 87070 139316 174140 174145 252503 278632 348280 348290 505006 696580 1010012 1262515 1393160 2020024 2525030 5050060 10100120 10457107 20914214 41828428 52285535 83656856 104571070 209142140 303256103 418284280 606512206 1213024412 1516280515 2426048824 3032561030 6065122060 12130244120