1101201920 has 320 divisors, whose sum is σ = 3382283520. Its totient is φ = 334430208.

The previous prime is 1101201847. The next prime is 1101201931. The reversal of 1101201920 is 291021011.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1101201920² = 2425291337223372800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6755759 + ... + 6755921.

It is an arithmetic number, because the mean of its divisors is an integer number (10569636).

Almost surely, 2^1101201920 is an apocalyptic number.

1101201920 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 1101201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691141760).

1101201920 is an abundant number, since it is smaller than the sum of its proper divisors (2281081600).

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

1101201920 is a wasteful number, since it uses less digits than its factorization.

1101201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 1101201920 is about 33184.3625823971. The cubic root of 1101201920 is about 1032.6559537892.

Adding to 1101201920 its reverse (291021011), we get a palindrome (1392222931).

The spelling of 1101201920 in words is "one billion, one hundred one million, two hundred one thousand, nine hundred twenty".