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12013033200 = 2435273146133
BaseRepresentation
bin10110011000000100…
…00101011011110000
31011000012122022112120
423030002011123300
5144100314030300
65304012554240
7603460045260
oct131402053360
934005568476
1012013033200
115105053713
1223b3182980
131195a78b8c
1481d6517a0
154a49973a0
hex2cc0856f0

12013033200 has 240 divisors, whose sum is σ = 45398808576. Its totient is φ = 2657203200.

The previous prime is 12013033183. The next prime is 12013033211. The reversal of 12013033200 is 233031021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12013033200.

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, 237334 + ... + 283466.

Almost surely, 212013033200 is an apocalyptic number.

12013033200 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 12013033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22699404288).

12013033200 is an abundant number, since it is smaller than the sum of its proper divisors (33385775376).

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

12013033200 is a wasteful number, since it uses less digits than its factorization.

12013033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46192 (or 46181 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12013033200 its reverse (233031021), we get a palindrome (12246064221).

The spelling of 12013033200 in words is "twelve billion, thirteen million, thirty-three thousand, two hundred".