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12001200000 = 2735573137
BaseRepresentation
bin10110010110101001…
…11100011110000000
31010222101101010102220
423023110330132000
5144034301400000
65302511211040
7603254342166
oct131324743600
933871333386
1012001200000
1150a9401209
1223ab216a80
131193494a9a
1481bc51236
154a390b1a0
hex2cb53c780

12001200000 has 384 divisors, whose sum is σ = 40685833440. Its totient is φ = 3133440000.

The previous prime is 12001199983. The next prime is 12001200017. The reversal of 12001200000 is 210021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12001199983) and next prime (12001200017).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87599932 + ... + 87600068.

Almost surely, 212001200000 is an apocalyptic number.

12001200000 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 12001200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20342916720).

12001200000 is an abundant number, since it is smaller than the sum of its proper divisors (28684633440).

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

12001200000 is an frugal number, since it uses more digits than its factorization.

12001200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 12001200000 its reverse (210021), we get a palindrome (12001410021).

The spelling of 12001200000 in words is "twelve billion, one million, two hundred thousand".