1201544802900 has 432 divisors, whose sum is σ = 4096921780224. Its totient is φ = 292783196160.

The previous prime is 1201544802893. The next prime is 1201544802917. The reversal of 1201544802900 is 92084451021.

1201544802900 is a `hidden beast` number, since 1 + 2 + 0 + 154 + 480 + 29 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 1282331232 + ... + 1282332168.

It is an arithmetic number, because the mean of its divisors is an integer number (9483615232).

Almost surely, 2^{1201544802900} is an apocalyptic number.

1201544802900 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 1201544802900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048460890112).

1201544802900 is an abundant number, since it is smaller than the sum of its proper divisors (2895376977324).

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

1201544802900 is a wasteful number, since it uses less digits than its factorization.

1201544802900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1201544802900 in words is "one trillion, two hundred one billion, five hundred forty-four million, eight hundred two thousand, nine hundred".