21222221011040 has 96 divisors (see below), whose sum is σ = 57616571847744. Its totient is φ = 7235990046720.

The previous prime is 21222221011031. The next prime is 21222221011049. The reversal of 21222221011040 is 4011012222212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21222221011031) and next prime (21222221011049).

It is a super-3 number, since 3×21222221011040³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222221011049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52140959 + ... + 52546398.

It is an arithmetic number, because the mean of its divisors is an integer number (600172623414).

Almost surely, 2^{21222221011040} is an apocalyptic number.

21222221011040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222221011040 is an abundant number, since it is smaller than the sum of its proper divisors (36394350836704).

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

21222221011040 is a wasteful number, since it uses less digits than its factorization.

21222221011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104687560 (or 104687552 counting only the distinct ones).

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

Adding to 21222221011040 its reverse (4011012222212), we get a palindrome (25233233233252).

The spelling of 21222221011040 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred twenty-one million, eleven thousand, forty".