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12112002000 = 243253797991
BaseRepresentation
bin10110100011110111…
…00111101111010000
31011021002212110012200
423101323213233100
5144301133031000
65321510123200
7606101214120
oct132173475720
934232773180
1012112002000
115155a0040a
122420350500
1311b041b1b7
1482c854c80
154ad4e6500
hex2d1ee7bd0

12112002000 has 480 divisors, whose sum is σ = 48894203904. Its totient is φ = 2737152000.

The previous prime is 12112001987. The next prime is 12112002011. The reversal of 12112002000 is 20021121.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 95 ways as a sum of consecutive naturals, for example, 12221505 + ... + 12222495.

Almost surely, 212112002000 is an apocalyptic number.

12112002000 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 12112002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24447101952).

12112002000 is an abundant number, since it is smaller than the sum of its proper divisors (36782201904).

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

12112002000 is a wasteful number, since it uses less digits than its factorization.

12112002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12112002000 its reverse (20021121), we get a palindrome (12132023121).

The spelling of 12112002000 in words is "twelve billion, one hundred twelve million, two thousand".