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12041156040 = 2335503199489
BaseRepresentation
bin10110011011011010…
…10111010111001000
31011002011120002211020
423031231113113020
5144130013443130
65310455432440
7604251065124
oct131555272710
934064502736
1012041156040
115119a11831
122400685720
13119b844604
14823292584
154a719ee10
hex2cdb575c8

12041156040 has 64 divisors (see below), whose sum is σ = 36195465600. Its totient is φ = 3204575232.

The previous prime is 12041156021. The next prime is 12041156041. The reversal of 12041156040 is 4065114021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12041156040.

It is not an unprimeable number, because it can be changed into a prime (12041156041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39385 + ... + 160104.

It is an arithmetic number, because the mean of its divisors is an integer number (565554150).

Almost surely, 212041156040 is an apocalyptic number.

12041156040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12041156040 is an abundant number, since it is smaller than the sum of its proper divisors (24154309560).

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

12041156040 is a wasteful number, since it uses less digits than its factorization.

12041156040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200006 (or 200002 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 12041156040 in words is "twelve billion, forty-one million, one hundred fifty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 503 1006 1509 2012 2515 3018 4024 5030 6036 7545 10060 12072 15090 20120 30180 60360 199489 398978 598467 797956 997445 1196934 1595912 1994890 2393868 2992335 3989780 4787736 5984670 7979560 11969340 23938680 100342967 200685934 301028901 401371868 501714835 602057802 802743736 1003429670 1204115604 1505144505 2006859340 2408231208 3010289010 4013718680 6020578020 12041156040