1200093444000 has 1152 divisors, whose sum is σ = 4977399248640. Its totient is φ = 270606336000.

The previous prime is 1200093443999. The next prime is 1200093444041. The reversal of 1200093444000 is 4443900021.

It is a super-2 number, since 2×1200093444000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 599146999 + ... + 599149001.

It is an arithmetic number, because the mean of its divisors is an integer number (4320659070).

Almost surely, 2^{1200093444000} is an apocalyptic number.

1200093444000 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 1200093444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488699624320).

1200093444000 is an abundant number, since it is smaller than the sum of its proper divisors (3777305804640).

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

1200093444000 is a wasteful number, since it uses less digits than its factorization.

1200093444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 1200093444000 in words is "one trillion, two hundred billion, ninety-three million, four hundred forty-four thousand".