221971134000 has 1280 divisors, whose sum is σ = 927382929408. Its totient is φ = 44352000000.

The previous prime is 221971133999. The next prime is 221971134013. The reversal of 221971134000 is 431179122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2197733950 + ... + 2197734050.

Almost surely, 2^221971134000 is an apocalyptic number.

221971134000 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 221971134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463691464704).

221971134000 is an abundant number, since it is smaller than the sum of its proper divisors (705411795408).

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

221971134000 is a wasteful number, since it uses less digits than its factorization.

221971134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 221971134000 in words is "two hundred twenty-one billion, nine hundred seventy-one million, one hundred thirty-four thousand".