1234321000000 has 441 divisors, whose sum is σ = 3398940340663. Its totient is φ = 444400000000.

The previous prime is 1234320999997. The next prime is 1234321000001. The reversal of 1234321000000 is 1234321.

It is a happy number.

The square root of 1234321000000 is 1111000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 1202847401536 + 31473598464 = 1096744^2 + 177408^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1234321000001) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 12220999950 + ... + 12221000050.

Almost surely, 2^{1234321000000} is an apocalyptic number.

1234321000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1234321000000 is the 1111000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1234321000000

1234321000000 is an abundant number, since it is smaller than the sum of its proper divisors (2164619340663).

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

1234321000000 is an frugal number, since it uses more digits than its factorization.

1234321000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Multiplying 1234321000000 by its sum of digits (16), we get a square (19749136000000 = 4444000²).

1234321000000 divided by its sum of digits (16) gives a square (77145062500 = 277750²).

Multiplying 1234321000000 by its product of nonzero digits (144), we get a square (177742224000000 = 13332000²).

Adding to 1234321000000 its reverse (1234321), we get a palindrome (1234322234321).

1234321000000 divided by its reverse (1234321) gives a 6-th power (1000000 = 10⁶).

The spelling of 1234321000000 in words is "one trillion, two hundred thirty-four billion, three hundred twenty-one million", and thus it is an aban number.