1355223252000 has 288 divisors, whose sum is σ = 4484509166592. Its totient is φ = 357782400000.

The previous prime is 1355223251971. The next prime is 1355223252049. The reversal of 1355223252000 is 2523225531.

It is a super-2 number, since 2×1355223252000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122406465 + ... + 122417535.

It is an arithmetic number, because the mean of its divisors is an integer number (15571212384).

Almost surely, 2^{1355223252000} is an apocalyptic number.

1355223252000 is a gapful number since it is divisible by the number (10) 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 1355223252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242254583296).

1355223252000 is an abundant number, since it is smaller than the sum of its proper divisors (3129285914592).

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

1355223252000 is a wasteful number, since it uses less digits than its factorization.

1355223252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11301 (or 11182 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 1355223252000 its reverse (2523225531), we get a palindrome (1357746477531).

The spelling of 1355223252000 in words is "one trillion, three hundred fifty-five billion, two hundred twenty-three million, two hundred fifty-two thousand".