1200217349292 has 288 divisors, whose sum is σ = 3215838749760. Its totient is φ = 346169241600.

The previous prime is 1200217349291. The next prime is 1200217349381. The reversal of 1200217349292 is 2929437120021.

It is not an unprimeable number, because it can be changed into a prime (1200217349291) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 702291334 + ... + 702293042.

It is an arithmetic number, because the mean of its divisors is an integer number (11166106770).

Almost surely, 2^{1200217349292} is an apocalyptic number.

1200217349292 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 1200217349292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607919374880).

1200217349292 is an abundant number, since it is smaller than the sum of its proper divisors (2015621400468).

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

1200217349292 is a wasteful number, since it uses less digits than its factorization.

1200217349292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 1200217349292 in words is "one trillion, two hundred billion, two hundred seventeen million, three hundred forty-nine thousand, two hundred ninety-two".