1221120020 has 48 divisors (see below), whose sum is σ = 2634907968. Its totient is φ = 475104000.

The previous prime is 1221120011. The next prime is 1221120029. The reversal of 1221120020 is 200211221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1221120011) and next prime (1221120029).

It is a super-2 number, since 2×1221120020² = 2982268206489600800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221119983 and 1221120010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221120029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213032 + ... + 218688.

It is an arithmetic number, because the mean of its divisors is an integer number (54893916).

Almost surely, 2^1221120020 is an apocalyptic number.

1221120020 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 1221120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317453984).

1221120020 is an abundant number, since it is smaller than the sum of its proper divisors (1413787948).

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

1221120020 is a wasteful number, since it uses less digits than its factorization.

1221120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5960 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1221120020 is about 34944.5277547143. The cubic root of 1221120020 is about 1068.8566177506.

Adding to 1221120020 its reverse (200211221), we get a palindrome (1421331241).

The spelling of 1221120020 in words is "one billion, two hundred twenty-one million, one hundred twenty thousand, twenty".