2171631222000 has 1120 divisors, whose sum is σ = 8117640348480. Its totient is φ = 561402316800.

The previous prime is 2171631221993. The next prime is 2171631222029. The reversal of 2171631222000 is 2221361712.

2171631222000 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 631 + 2 + 2 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 12132017911 + ... + 12132018089.

Almost surely, 2^{2171631222000} is an apocalyptic number.

2171631222000 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 2171631222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058820174240).

2171631222000 is an abundant number, since it is smaller than the sum of its proper divisors (5946009126480).

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

2171631222000 is a wasteful number, since it uses less digits than its factorization.

2171631222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 2171631222000 its reverse (2221361712), we get a palindrome (2173852583712).

The spelling of 2171631222000 in words is "two trillion, one hundred seventy-one billion, six hundred thirty-one million, two hundred twenty-two thousand".