1223132272128 has 640 divisors, whose sum is σ = 4167427017600. Its totient is φ = 350865063936.

The previous prime is 1223132272127. The next prime is 1223132272133. The reversal of 1223132272128 is 8212722313221.

1223132272128 is a `hidden beast` number, since 1 + 2 + 231 + 32 + 272 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1223132272092 and 1223132272101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223132272127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 333004500 + ... + 333008172.

It is an arithmetic number, because the mean of its divisors is an integer number (6511604715).

Almost surely, 2^{1223132272128} is an apocalyptic number.

1223132272128 is a gapful number since it is divisible by the number (18) 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 1223132272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083713508800).

1223132272128 is an abundant number, since it is smaller than the sum of its proper divisors (2944294745472).

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

1223132272128 is a wasteful number, since it uses less digits than its factorization.

1223132272128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3817 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

Adding to 1223132272128 its reverse (8212722313221), we get a palindrome (9435854585349).

The spelling of 1223132272128 in words is "one trillion, two hundred twenty-three billion, one hundred thirty-two million, two hundred seventy-two thousand, one hundred twenty-eight".