1022020311200 has 144 divisors (see below), whose sum is σ = 2852373311424. Its totient is φ = 350291865600.

The previous prime is 1022020311199. The next prime is 1022020311209. The reversal of 1022020311200 is 21130202201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1022020311209) 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 23 ways as a sum of consecutive naturals, for example, 17986835 + ... + 18043565.

It is an arithmetic number, because the mean of its divisors is an integer number (19808147996).

Almost surely, 2^{1022020311200} is an apocalyptic number.

1022020311200 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 1022020311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426186655712).

1022020311200 is an abundant number, since it is smaller than the sum of its proper divisors (1830353000224).

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

1022020311200 is a wasteful number, since it uses less digits than its factorization.

1022020311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59975 (or 59962 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1022020311200 its reverse (21130202201), we get a palindrome (1043150513401).

The spelling of 1022020311200 in words is "one trillion, twenty-two billion, twenty million, three hundred eleven thousand, two hundred".