1206220435840 has 512 divisors, whose sum is σ = 3514967654400. Its totient is φ = 387049881600.

The previous prime is 1206220435813. The next prime is 1206220435841. The reversal of 1206220435840 is 485340226021.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1206220435840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206220435841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 981464346 + ... + 981465574.

It is an arithmetic number, because the mean of its divisors is an integer number (6865171200).

Almost surely, 2^{1206220435840} is an apocalyptic number.

1206220435840 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 1206220435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757483827200).

1206220435840 is an abundant number, since it is smaller than the sum of its proper divisors (2308747218560).

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

1206220435840 is a wasteful number, since it uses less digits than its factorization.

1206220435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 1206220435840 in words is "one trillion, two hundred six billion, two hundred twenty million, four hundred thirty-five thousand, eight hundred forty".