1200411667620 has 576 divisors, whose sum is σ = 4252564592640. Its totient is φ = 271221350400.

The previous prime is 1200411667619. The next prime is 1200411667627. The reversal of 1200411667620 is 267661140021.

1200411667620 is a `hidden beast` number, since 1 + 20 + 0 + 4 + 1 + 1 + 6 + 6 + 7 + 620 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1200411667627) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1098271794 + ... + 1098272886.

It is an arithmetic number, because the mean of its divisors is an integer number (7382924640).

Almost surely, 2^{1200411667620} is an apocalyptic number.

1200411667620 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 1200411667620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126282296320).

1200411667620 is an abundant number, since it is smaller than the sum of its proper divisors (3052152925020).

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

1200411667620 is a wasteful number, since it uses less digits than its factorization.

1200411667620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1200411667620 in words is "one trillion, two hundred billion, four hundred eleven million, six hundred sixty-seven thousand, six hundred twenty".