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12030670800 = 2434521919543
BaseRepresentation
bin10110011010001010…
…10111011111010000
31011001102211101210000
423031011113133100
5144114322431200
65305443010000
7604063004661
oct131505273720
934042741700
1012030670800
115114000045
1223b9069900
131199612c25
14821b23368
154a62cd300
hex2cd1577d0

12030670800 has 300 divisors, whose sum is σ = 45451917280. Its totient is φ = 3039171840.

The previous prime is 12030670777. The next prime is 12030670801. The reversal of 12030670800 is 807603021.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12030670801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 605829 + ... + 625371.

Almost surely, 212030670800 is an apocalyptic number.

12030670800 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 12030670800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22725958640).

12030670800 is an abundant number, since it is smaller than the sum of its proper divisors (33421246480).

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

12030670800 is a wasteful number, since it uses less digits than its factorization.

12030670800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19592 (or 19572 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 12030670800 in words is "twelve billion, thirty million, six hundred seventy thousand, eight hundred".