1220222132010 has 288 divisors, whose sum is σ = 3744125985600. Its totient is φ = 274875503616.

The previous prime is 1220222131957. The next prime is 1220222132027. The reversal of 1220222132010 is 102312220221.

1220222132010 is a `hidden beast` number, since 122 + 0 + 2 + 221 + 320 + 1 + 0 = 666.

It is a super-3 number, since 3×1220222132010³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 158487141 + ... + 158494839.

It is an arithmetic number, because the mean of its divisors is an integer number (13000437450).

Almost surely, 2^{1220222132010} is an apocalyptic number.

1220222132010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220222132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872062992800).

1220222132010 is an abundant number, since it is smaller than the sum of its proper divisors (2523903853590).

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

1220222132010 is a wasteful number, since it uses less digits than its factorization.

1220222132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242 (or 8232 counting only the distinct ones).

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

Adding to 1220222132010 its reverse (102312220221), we get a palindrome (1322534352231).

The spelling of 1220222132010 in words is "one trillion, two hundred twenty billion, two hundred twenty-two million, one hundred thirty-two thousand, ten".