1032212201220 has 288 divisors, whose sum is σ = 3334055044320. Its totient is φ = 257998970880.

The previous prime is 1032212201179. The next prime is 1032212201233. The reversal of 1032212201220 is 221022122301.

1032212201220 is a `hidden beast` number, since 1 + 0 + 3 + 221 + 220 + 1 + 220 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1240025796 + 1030972175424 = 35214^2 + 1015368^2 .

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 = 1032212201193 and 1032212201202.

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 95 ways as a sum of consecutive naturals, for example, 89031744 + ... + 89043336.

It is an arithmetic number, because the mean of its divisors is an integer number (11576580015).

Almost surely, 2^{1032212201220} is an apocalyptic number.

1032212201220 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 1032212201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667027522160).

1032212201220 is an abundant number, since it is smaller than the sum of its proper divisors (2301842843100).

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

1032212201220 is a wasteful number, since it uses less digits than its factorization.

1032212201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12135 (or 12130 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1032212201220 its reverse (221022122301), we get a palindrome (1253234323521).

The spelling of 1032212201220 in words is "one trillion, thirty-two billion, two hundred twelve million, two hundred one thousand, two hundred twenty".