1020121223200 has 144 divisors (see below), whose sum is σ = 2505332914056. Its totient is φ = 405604352000.

The previous prime is 1020121223189. The next prime is 1020121223207. The reversal of 1020121223200 is 23221210201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 614449041424 + 405672181776 = 783868^2 + 636924^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1020121223207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93988974 + ... + 93999826.

Almost surely, 2^{1020121223200} is an apocalyptic number.

1020121223200 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 1020121223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252666457028).

1020121223200 is an abundant number, since it is smaller than the sum of its proper divisors (1485211690856).

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

1020121223200 is a wasteful number, since it uses less digits than its factorization.

1020121223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11567 (or 11554 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1020121223200 its reverse (23221210201), we get a palindrome (1043342433401).

The spelling of 1020121223200 in words is "one trillion, twenty billion, one hundred twenty-one million, two hundred twenty-three thousand, two hundred".