1090200309120 has 384 divisors, whose sum is σ = 4230457882560. Its totient is φ = 256688898048.

The previous prime is 1090200309091. The next prime is 1090200309139. The reversal of 1090200309120 is 219030020901.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1405734 + ... + 2038746.

Almost surely, 2^{1090200309120} is an apocalyptic number.

1090200309120 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 1090200309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115228941280).

1090200309120 is an abundant number, since it is smaller than the sum of its proper divisors (3140257573440).

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

1090200309120 is a wasteful number, since it uses less digits than its factorization.

1090200309120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633074 (or 633059 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 1090200309120 in words is "one trillion, ninety billion, two hundred million, three hundred nine thousand, one hundred twenty".