1021200222000 has 640 divisors, whose sum is σ = 3878639751168. Its totient is φ = 226271232000.

The previous prime is 1021200221999. The next prime is 1021200222017. The reversal of 1021200222000 is 2220021201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 127 ways as a sum of consecutive naturals, for example, 483292944 + ... + 483295056.

Almost surely, 2^{1021200222000} is an apocalyptic number.

1021200222000 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 1021200222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939319875584).

1021200222000 is an abundant number, since it is smaller than the sum of its proper divisors (2857439529168).

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

1021200222000 is a wasteful number, since it uses less digits than its factorization.

1021200222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1021200222000 its reverse (2220021201), we get a palindrome (1023420243201).

The spelling of 1021200222000 in words is "one trillion, twenty-one billion, two hundred million, two hundred twenty-two thousand".