1207335747072 has 960 divisors, whose sum is σ = 4249402020864. Its totient is φ = 296528117760.

The previous prime is 1207335747019. The next prime is 1207335747077. The reversal of 1207335747072 is 2707475337021.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1207335747077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3582598488 + ... + 3582598824.

Almost surely, 2^{1207335747072} is an apocalyptic number.

1207335747072 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 1207335747072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124701010432).

1207335747072 is an abundant number, since it is smaller than the sum of its proper divisors (3042066273792).

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

1207335747072 is a wasteful number, since it uses less digits than its factorization.

1207335747072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1728720, while the sum is 48.

The spelling of 1207335747072 in words is "one trillion, two hundred seven billion, three hundred thirty-five million, seven hundred forty-seven thousand, seventy-two".