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12015997812 = 22347131273209
BaseRepresentation
bin10110011000011010…
…11001001101110100
31011000102012221020000
423030031121031310
5144102043412222
65304200311300
7603524203410
oct131415311564
934012187200
1012015997812
115106799005
1223b4172530
1311965763a0
1481dbc3d40
154a4d809ac
hex2cc359374

12015997812 has 240 divisors, whose sum is σ = 38977720320. Its totient is φ = 3143121408.

The previous prime is 12015997811. The next prime is 12015997813. The reversal of 12015997812 is 21879951021.

12015997812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12015997811) and next prime (12015997813).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12015997811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3742864 + ... + 3746072.

It is an arithmetic number, because the mean of its divisors is an integer number (162407168).

Almost surely, 212015997812 is an apocalyptic number.

12015997812 is a gapful number since it is divisible by the number (12) 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 12015997812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19488860160).

12015997812 is an abundant number, since it is smaller than the sum of its proper divisors (26961722508).

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

12015997812 is a wasteful number, since it uses less digits than its factorization.

12015997812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 12015997812 in words is "twelve billion, fifteen million, nine hundred ninety-seven thousand, eight hundred twelve".