1214221210020 has 576 divisors, whose sum is σ = 4929509684736. Its totient is φ = 234598809600.

The previous prime is 1214221209991. The next prime is 1214221210051. The reversal of 1214221210020 is 200121224121.

1214221210020 is a `hidden beast` number, since 1 + 214 + 221 + 210 + 0 + 20 = 666.

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 = 1214221209975 and 1214221210002.

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 191 ways as a sum of consecutive naturals, for example, 10244095 + ... + 10361945.

It is an arithmetic number, because the mean of its divisors is an integer number (8558176536).

Almost surely, 2^{1214221210020} is an apocalyptic number.

1214221210020 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 1214221210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464754842368).

1214221210020 is an abundant number, since it is smaller than the sum of its proper divisors (3715288474716).

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

1214221210020 is a wasteful number, since it uses less digits than its factorization.

1214221210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117940 (or 117935 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1214221210020 its reverse (200121224121), we get a palindrome (1414342434141).

It can be divided in two parts, 1214221 and 210020, that added together give a palindrome (1424241).

The spelling of 1214221210020 in words is "one trillion, two hundred fourteen billion, two hundred twenty-one million, two hundred ten thousand, twenty".