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12015404120 = 2352913197853
BaseRepresentation
bin10110011000010110…
…01000010001011000
31011000101002202211102
423030023020101120
5144101420412440
65304135450532
7603516151466
oct131413102130
934011082742
1012015404120
115106422a55
1223b3b26a48
1311963c90a5
1481daab836
154a4cb4b15
hex2cc2c8458

12015404120 has 64 divisors (see below), whose sum is σ = 27991656000. Its totient is φ = 4636323328.

The previous prime is 12015404059. The next prime is 12015404183. The reversal of 12015404120 is 2140451021.

It is a happy number.

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 = 12015404092 and 12015404101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1526114 + ... + 1533966.

It is an arithmetic number, because the mean of its divisors is an integer number (437369625).

Almost surely, 212015404120 is an apocalyptic number.

12015404120 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 12015404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13995828000).

12015404120 is an abundant number, since it is smaller than the sum of its proper divisors (15976251880).

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

12015404120 is a wasteful number, since it uses less digits than its factorization.

12015404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9212 (or 9208 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 12015404120 its reverse (2140451021), we get a palindrome (14155855141).

The spelling of 12015404120 in words is "twelve billion, fifteen million, four hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1319 2638 5276 6595 7853 10552 13190 15706 26380 31412 38251 39265 52760 62824 76502 78530 153004 157060 191255 227737 306008 314120 382510 455474 765020 910948 1138685 1530040 1821896 2277370 4554740 9109480 10358107 20716214 41432428 51790535 82864856 103581070 207162140 300385103 414324280 600770206 1201540412 1501925515 2403080824 3003851030 6007702060 12015404120