1222068090672 has 640 divisors, whose sum is σ = 4266926899200. Its totient is φ = 329804006400.

The previous prime is 1222068090671. The next prime is 1222068090757. The reversal of 1222068090672 is 2760908602221.

It is a super-3 number, since 3×1222068090672³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1222068090671) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 802407703 + ... + 802409225.

It is an arithmetic number, because the mean of its divisors is an integer number (6667073280).

Almost surely, 2^{1222068090672} is an apocalyptic number.

1222068090672 is a gapful number since it is divisible by the number (12) 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 1222068090672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133463449600).

1222068090672 is an abundant number, since it is smaller than the sum of its proper divisors (3044858808528).

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

1222068090672 is a wasteful number, since it uses less digits than its factorization.

1222068090672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1222068090672 in words is "one trillion, two hundred twenty-two billion, sixty-eight million, ninety thousand, six hundred seventy-two".