1207688011200 has 1344 divisors, whose sum is σ = 5120312279040. Its totient is φ = 273968640000.

The previous prime is 1207688011183. The next prime is 1207688011217. The reversal of 1207688011200 is 21108867021.

It is an interprime number because it is at equal distance from previous prime (1207688011183) and next prime (1207688011217).

It is a super-2 number, since 2×1207688011200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 513690025 + ... + 513692375.

It is an arithmetic number, because the mean of its divisors is an integer number (3809756160).

Almost surely, 2^{1207688011200} is an apocalyptic number.

1207688011200 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 1207688011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560156139520).

1207688011200 is an abundant number, since it is smaller than the sum of its proper divisors (3912624267840).

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

1207688011200 is a wasteful number, since it uses less digits than its factorization.

1207688011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 1207688011200 in words is "one trillion, two hundred seven billion, six hundred eighty-eight million, eleven thousand, two hundred".