1202113554400 has 288 divisors, whose sum is σ = 3240189177120. Its totient is φ = 431861760000.

The previous prime is 1202113554359. The next prime is 1202113554401. The reversal of 1202113554400 is 44553112021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202113554401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505726012 + ... + 505728388.

It is an arithmetic number, because the mean of its divisors is an integer number (11250656865).

Almost surely, 2^{1202113554400} is an apocalyptic number.

1202113554400 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 1202113554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620094588560).

1202113554400 is an abundant number, since it is smaller than the sum of its proper divisors (2038075622720).

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

1202113554400 is a wasteful number, since it uses less digits than its factorization.

1202113554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 1202113554400 its reverse (44553112021), we get a palindrome (1246666666421).

The spelling of 1202113554400 in words is "one trillion, two hundred two billion, one hundred thirteen million, five hundred fifty-four thousand, four hundred".