1200405605652 has 288 divisors, whose sum is σ = 3459962548224. Its totient is φ = 360893491200.

The previous prime is 1200405605621. The next prime is 1200405605653. The reversal of 1200405605652 is 2565065040021.

1200405605652 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 40 + 5 + 605 + 6 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200405605653) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1211306877 + ... + 1211307867.

It is an arithmetic number, because the mean of its divisors is an integer number (12013758848).

Almost surely, 2^{1200405605652} is an apocalyptic number.

1200405605652 is a gapful number since it is divisible by the number (12) 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 1200405605652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729981274112).

1200405605652 is an abundant number, since it is smaller than the sum of its proper divisors (2259556942572).

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

1200405605652 is a wasteful number, since it uses less digits than its factorization.

1200405605652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1200405605652 in words is "one trillion, two hundred billion, four hundred five million, six hundred five thousand, six hundred fifty-two".