1221031020132 has 192 divisors, whose sum is σ = 3948488570880. Its totient is φ = 317012572800.

The previous prime is 1221031020103. The next prime is 1221031020133. The reversal of 1221031020132 is 2310201301221.

1221031020132 is a `hidden beast` number, since 1 + 221 + 0 + 310 + 2 + 0 + 132 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1221031020133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19769563 + ... + 19831229.

It is an arithmetic number, because the mean of its divisors is an integer number (20565044640).

Almost surely, 2^{1221031020132} is an apocalyptic number.

1221031020132 is a gapful number since it is divisible by the number (12) 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 1221031020132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974244285440).

1221031020132 is an abundant number, since it is smaller than the sum of its proper divisors (2727457550748).

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

1221031020132 is a wasteful number, since it uses less digits than its factorization.

1221031020132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64079 (or 64071 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1221031020132 its reverse (2310201301221), we get a palindrome (3531232321353).

The spelling of 1221031020132 in words is "one trillion, two hundred twenty-one billion, thirty-one million, twenty thousand, one hundred thirty-two".