1233120000000 has 768 divisors, whose sum is σ = 4709237944320. Its totient is φ = 281088000000.

The previous prime is 1233119999999. The next prime is 1233120000037. The reversal of 1233120000000 is 213321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3359999817 + ... + 3360000183.

It is an arithmetic number, because the mean of its divisors is an integer number (6131820240).

Almost surely, 2^{1233120000000} is an apocalyptic number.

1233120000000 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 1233120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354618972160).

1233120000000 is an abundant number, since it is smaller than the sum of its proper divisors (3476117944320).

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

1233120000000 is an frugal number, since it uses more digits than its factorization.

1233120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1233120000000 its reverse (213321), we get a palindrome (1233120213321).

The spelling of 1233120000000 in words is "one trillion, two hundred thirty-three billion, one hundred twenty million", and thus it is an aban number.