1120093920 has 432 divisors, whose sum is σ = 4374600048. Its totient is φ = 268738560.

The previous prime is 1120093867. The next prime is 1120093921. The reversal of 1120093920 is 293900211.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1120093920² = 2509220779241932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120093921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11547312 + ... + 11547408.

It is an arithmetic number, because the mean of its divisors is an integer number (10126389).

Almost surely, 2^1120093920 is an apocalyptic number.

1120093920 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 1120093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187300024).

1120093920 is an abundant number, since it is smaller than the sum of its proper divisors (3254506128).

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

1120093920 is an frugal number, since it uses more digits than its factorization.

1120093920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

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

The square root of 1120093920 is about 33467.8042303346. The cubic root of 1120093920 is about 1038.5278480735.

The spelling of 1120093920 in words is "one billion, one hundred twenty million, ninety-three thousand, nine hundred twenty".