1023205541200 has 120 divisors (see below), whose sum is σ = 2522857946400. Its totient is φ = 398652986880.

The previous prime is 1023205541177. The next prime is 1023205541209. The reversal of 1023205541200 is 21455023201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023205541209) 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, 2373519 + ... + 2771281.

It is an arithmetic number, because the mean of its divisors is an integer number (21023816220).

Almost surely, 2^{1023205541200} is an apocalyptic number.

1023205541200 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 1023205541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261428973200).

1023205541200 is an abundant number, since it is smaller than the sum of its proper divisors (1499652405200).

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

1023205541200 is a wasteful number, since it uses less digits than its factorization.

1023205541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397949 (or 397938 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 1023205541200 in words is "one trillion, twenty-three billion, two hundred five million, five hundred forty-one thousand, two hundred".