22201001121012 has 384 divisors, whose sum is σ = 61415362584576. Its totient is φ = 6111711111168.

The previous prime is 22201001121007. The next prime is 22201001121041. The reversal of 22201001121012 is 21012110010222.

It is a junction number, because it is equal to n+sod(n) for n = 22201001120982 and 22201001121000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50115126463 + ... + 50115126905.

It is an arithmetic number, because the mean of its divisors is an integer number (159935840064).

Almost surely, 2^{22201001121012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201001121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30707681292288).

22201001121012 is an abundant number, since it is smaller than the sum of its proper divisors (39214361463564).

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

22201001121012 is a wasteful number, since it uses less digits than its factorization.

22201001121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22201001121012 its reverse (21012110010222), we get a palindrome (43213111131234).

The spelling of 22201001121012 in words is "twenty-two trillion, two hundred one billion, one million, one hundred twenty-one thousand, twelve".