1200405213560 has 256 divisors, whose sum is σ = 3156580627200. Its totient is φ = 402393858048.

The previous prime is 1200405213559. The next prime is 1200405213571. The reversal of 1200405213560 is 653125040021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 840030926 + ... + 840032354.

It is an arithmetic number, because the mean of its divisors is an integer number (12330393075).

Almost surely, 2^{1200405213560} is an apocalyptic number.

1200405213560 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 1200405213560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578290313600).

1200405213560 is an abundant number, since it is smaller than the sum of its proper divisors (1956175413640).

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

1200405213560 is a wasteful number, since it uses less digits than its factorization.

1200405213560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 1200405213560 in words is "one trillion, two hundred billion, four hundred five million, two hundred thirteen thousand, five hundred sixty".