2221111332000 has 864 divisors, whose sum is σ = 8899302786192. Its totient is φ = 523860480000.

The previous prime is 2221111331969. The next prime is 2221111332031. The reversal of 2221111332000 is 2331111222.

2221111332000 is a `hidden beast` number, since 2 + 221 + 111 + 332 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2221111331969) and next prime (2221111332031).

It can be written as a sum of positive squares in 8 ways, for example, as 408673804176 + 1812437527824 = 639276^2 + 1346268^2 .

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, 161165110 + ... + 161178890.

Almost surely, 2^{2221111332000} is an apocalyptic number.

2221111332000 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 2221111332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449651393096).

2221111332000 is an abundant number, since it is smaller than the sum of its proper divisors (6678191454192).

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

2221111332000 is a wasteful number, since it uses less digits than its factorization.

2221111332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13871 (or 13839 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2221111332000 its reverse (2331111222), we get a palindrome (2223442443222).

The spelling of 2221111332000 in words is "two trillion, two hundred twenty-one billion, one hundred eleven million, three hundred thirty-two thousand".