1221141020 has 96 divisors (see below), whose sum is σ = 2956262400. Its totient is φ = 419040000.

The previous prime is 1221141011. The next prime is 1221141023. The reversal of 1221141020 is 201411221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1221140986 and 1221141004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221141023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1625645 + ... + 1626395.

It is an arithmetic number, because the mean of its divisors is an integer number (30794400).

Almost surely, 2^1221141020 is an apocalyptic number.

1221141020 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 1221141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478131200).

1221141020 is an abundant number, since it is smaller than the sum of its proper divisors (1735121380).

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

1221141020 is a wasteful number, since it uses less digits than its factorization.

1221141020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1221141020 is about 34944.8282296537. The cubic root of 1221141020 is about 1068.8627448743.

Adding to 1221141020 its reverse (201411221), we get a palindrome (1422552241).

It can be divided in two parts, 1221 and 141020, that added together give a palindrome (142241).

The spelling of 1221141020 in words is "one billion, two hundred twenty-one million, one hundred forty-one thousand, twenty".