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12381228000 = 253353114641
BaseRepresentation
bin10111000011111101…
…01000101111100000
31011221212110112212000
423201332220233200
5200324043244000
65404324404000
7615550462431
oct134176505740
934855415760
1012381228000
115283975939
122496546600
13122413291b
148564d7488
154c6e77000
hex2e1fa8be0

12381228000 has 192 divisors, whose sum is σ = 45068063040. Its totient is φ = 3301632000.

The previous prime is 12381227917. The next prime is 12381228019. The reversal of 12381228000 is 82218321.

12381228000 is a `hidden beast` number, since 1 + 2 + 381 + 2 + 280 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50680 + ... + 165320.

It is an arithmetic number, because the mean of its divisors is an integer number (234729495).

Almost surely, 212381228000 is an apocalyptic number.

12381228000 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 12381228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22534031520).

12381228000 is an abundant number, since it is smaller than the sum of its proper divisors (32686835040).

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

12381228000 is a wasteful number, since it uses less digits than its factorization.

12381228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114675 (or 114651 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12381228000 in words is "twelve billion, three hundred eighty-one million, two hundred twenty-eight thousand".