221121140240 has 480 divisors, whose sum is σ = 700000697088. Its totient is φ = 63207936000.

The previous prime is 221121140203. The next prime is 221121140287. The reversal of 221121140240 is 42041121122.

It is a super-2 number, since 2×221121140240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152391515 + ... + 152392965.

Almost surely, 2^221121140240 is an apocalyptic number.

221121140240 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 221121140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350000348544).

221121140240 is an abundant number, since it is smaller than the sum of its proper divisors (478879556848).

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

221121140240 is a wasteful number, since it uses less digits than its factorization.

221121140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221121140240 its reverse (42041121122), we get a palindrome (263162261362).

The spelling of 221121140240 in words is "two hundred twenty-one billion, one hundred twenty-one million, one hundred forty thousand, two hundred forty".