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12006499000 = 235319279421
BaseRepresentation
bin10110010111010010…
…01010001010111000
31010222202100100022011
423023221022022320
5144042130432000
65303220535304
7603350362156
oct131351121270
933882310264
1012006499000
1151013a0451
1223b0b51534
1311945cb9a2
1481c8303d6
154a41062ba
hex2cba4a2b8

12006499000 has 192 divisors, whose sum is σ = 30098390400. Its totient is φ = 4481568000.

The previous prime is 12006498961. The next prime is 12006499007. The reversal of 12006499000 is 99460021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006499007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28518790 + ... + 28519210.

It is an arithmetic number, because the mean of its divisors is an integer number (156762450).

Almost surely, 212006499000 is an apocalyptic number.

12006499000 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 12006499000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15049195200).

12006499000 is an abundant number, since it is smaller than the sum of its proper divisors (18091891400).

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

12006499000 is a wasteful number, since it uses less digits than its factorization.

12006499000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 12006499000 in words is "twelve billion, six million, four hundred ninety-nine thousand".