1120121820 has 144 divisors (see below), whose sum is σ = 3597179040. Its totient is φ = 281346048.

The previous prime is 1120121809. The next prime is 1120121911. The reversal of 1120121820 is 281210211.

It is a super-2 number, since 2×1120121820² = 2509345783280224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1120121793 and 1120121802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659212 + ... + 660908.

It is an arithmetic number, because the mean of its divisors is an integer number (24980410).

Almost surely, 2^1120121820 is an apocalyptic number.

1120121820 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 1120121820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798589520).

1120121820 is an abundant number, since it is smaller than the sum of its proper divisors (2477057220).

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

1120121820 is a wasteful number, since it uses less digits than its factorization.

1120121820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1120121820 is about 33468.2210462403. The cubic root of 1120121820 is about 1038.5364707690.

The spelling of 1120121820 in words is "one billion, one hundred twenty million, one hundred twenty-one thousand, eight hundred twenty".