1221062564832 has 192 divisors, whose sum is σ = 3709812960000. Its totient is φ = 347552686080.

The previous prime is 1221062564831. The next prime is 1221062564851. The reversal of 1221062564832 is 2384652601221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221062564831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8889894 + ... + 9026202.

It is an arithmetic number, because the mean of its divisors is an integer number (19321942500).

Almost surely, 2^{1221062564832} is an apocalyptic number.

1221062564832 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 1221062564832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854906480000).

1221062564832 is an abundant number, since it is smaller than the sum of its proper divisors (2488750395168).

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

1221062564832 is a wasteful number, since it uses less digits than its factorization.

1221062564832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136849 (or 136841 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 1221062564832 in words is "one trillion, two hundred twenty-one billion, sixty-two million, five hundred sixty-four thousand, eight hundred thirty-two".