1228133218752 has 504 divisors, whose sum is σ = 4058863518528. Its totient is φ = 354363863040.

The previous prime is 1228133218747. The next prime is 1228133218757. The reversal of 1228133218752 is 2578123318221.

It is a happy number.

1228133218752 is a `hidden beast` number, since 12 + 2 + 81 + 332 + 187 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (1228133218747) and next prime (1228133218757).

It is a super-2 number, since 2×1228133218752² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1228133218698 and 1228133218707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228133218757) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121196278 + ... + 121206410.

It is an arithmetic number, because the mean of its divisors is an integer number (8053300632).

Almost surely, 2^{1228133218752} is an apocalyptic number.

1228133218752 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 1228133218752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029431759264).

1228133218752 is an abundant number, since it is smaller than the sum of its proper divisors (2830730299776).

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

1228133218752 is a wasteful number, since it uses less digits than its factorization.

1228133218752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10257 (or 10233 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 1228133218752 in words is "one trillion, two hundred twenty-eight billion, one hundred thirty-three million, two hundred eighteen thousand, seven hundred fifty-two".