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2012233312320 = 263571133182241
BaseRepresentation
bin11101010010000010011…
…100111010100001000000
321010100220222222111122120
4131102002130322201000
5230432023211443240
64140223543204240
7265244005641450
oct35220234724100
97110828874576
102012233312320
11706424278460
12285b98a46680
131179a2b47a0a
146d56d481d60
1537521e87ad0
hex1d48273a840

2012233312320 has 448 divisors, whose sum is σ = 7989469489152. Its totient is φ = 416858112000.

The previous prime is 2012233312267. The next prime is 2012233312343. The reversal of 2012233312320 is 232133322102.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24426400 + ... + 24508640.

Almost surely, 22012233312320 is an apocalyptic number.

2012233312320 is a gapful number since it is divisible by the number (20) 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 2012233312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994734744576).

2012233312320 is an abundant number, since it is smaller than the sum of its proper divisors (5977236176832).

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

2012233312320 is a wasteful number, since it uses less digits than its factorization.

2012233312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82610 (or 82600 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2012233312320 its reverse (232133322102), we get a palindrome (2244366634422).

The spelling of 2012233312320 in words is "two trillion, twelve billion, two hundred thirty-three million, three hundred twelve thousand, three hundred twenty".