2231002231200 has 864 divisors, whose sum is σ = 8288828074800. Its totient is φ = 564072284160.

The previous prime is 2231002231189. The next prime is 2231002231219. The reversal of 2231002231200 is 21322001322.

2231002231200 is a `hidden beast` number, since 2 + 231 + 0 + 0 + 2 + 231 + 200 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 32863888656 + 2198138342544 = 181284^2 + 1482612^2 .

It is a super-3 number, since 3×2231002231200³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1730800156 + ... + 1730801444.

Almost surely, 2^{2231002231200} is an apocalyptic number.

2231002231200 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 2231002231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144414037400).

2231002231200 is an abundant number, since it is smaller than the sum of its proper divisors (6057825843600).

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

2231002231200 is a wasteful number, since it uses less digits than its factorization.

2231002231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2231002231200 its reverse (21322001322), we get a palindrome (2252324232522).

The spelling of 2231002231200 in words is "two trillion, two hundred thirty-one billion, two million, two hundred thirty-one thousand, two hundred".