1221464612610 has 384 divisors, whose sum is σ = 3848298854400. Its totient is φ = 265307581440.

The previous prime is 1221464612597. The next prime is 1221464612611. The reversal of 1221464612610 is 162164641221.

1221464612610 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 4 + 646 + 1 + 2 + 6 + 1 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1221464612611) 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, 38488209 + ... + 38519931.

It is an arithmetic number, because the mean of its divisors is an integer number (10021611600).

Almost surely, 2^{1221464612610} is an apocalyptic number.

1221464612610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221464612610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924149427200).

1221464612610 is an abundant number, since it is smaller than the sum of its proper divisors (2626834241790).

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

1221464612610 is a wasteful number, since it uses less digits than its factorization.

1221464612610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31878 (or 31875 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1221464612610 in words is "one trillion, two hundred twenty-one billion, four hundred sixty-four million, six hundred twelve thousand, six hundred ten".