1233120672 has 480 divisors, whose sum is σ = 4512816000. Its totient is φ = 329204736.

The previous prime is 1233120661. The next prime is 1233120683. The reversal of 1233120672 is 2760213321.

It is an interprime number because it is at equal distance from previous prime (1233120661) and next prime (1233120683).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16892028 + ... + 16892100.

It is an arithmetic number, because the mean of its divisors is an integer number (9401700).

Almost surely, 2^1233120672 is an apocalyptic number.

1233120672 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 1233120672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256408000).

1233120672 is an abundant number, since it is smaller than the sum of its proper divisors (3279695328).

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

1233120672 is an equidigital number, since it uses as much as digits as its factorization.

1233120672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1233120672 is about 35115.8179742406. The cubic root of 1233120672 is about 1072.3466336520.

Adding to 1233120672 its reverse (2760213321), we get a palindrome (3993333993).

The spelling of 1233120672 in words is "one billion, two hundred thirty-three million, one hundred twenty thousand, six hundred seventy-two".