1221210023120 has 80 divisors (see below), whose sum is σ = 2935249788240. Its totient is φ = 472197427200.

The previous prime is 1221210023119. The next prime is 1221210023153. The reversal of 1221210023120 is 213200121221.

It can be written as a sum of positive squares in 8 ways, for example, as 30379095616 + 1190830927504 = 174296^2 + 1091252^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1350371 + ... + 2065410.

It is an arithmetic number, because the mean of its divisors is an integer number (36690622353).

Almost surely, 2^{1221210023120} is an apocalyptic number.

1221210023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221210023120 is an abundant number, since it is smaller than the sum of its proper divisors (1714039765120).

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

1221210023120 is a wasteful number, since it uses less digits than its factorization.

1221210023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415944 (or 3415938 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1221210023120 its reverse (213200121221), we get a palindrome (1434410144341).

The spelling of 1221210023120 in words is "one trillion, two hundred twenty-one billion, two hundred ten million, twenty-three thousand, one hundred twenty".