1221513052004 has 18 divisors (see below), whose sum is σ = 2486651570550. Its totient is φ = 523505593632.

The previous prime is 1221513051881. The next prime is 1221513052021. The reversal of 1221513052004 is 4002503151221.

It can be written as a sum of positive squares in only one way, i.e., 1146831093604 + 74681958400 = 1070902^2 + 273280^2 .

It is a super-2 number, since 2×1221513052004² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3116104529 + ... + 3116104920.

It is an arithmetic number, because the mean of its divisors is an integer number (138147309475).

Almost surely, 2^{1221513052004} is an apocalyptic number.

1221513052004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1221513052004 is an abundant number, since it is smaller than the sum of its proper divisors (1265138518546).

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

1221513052004 is a wasteful number, since it uses less digits than its factorization.

1221513052004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232209467 (or 6232209458 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 1221513052004 in words is "one trillion, two hundred twenty-one billion, five hundred thirteen million, fifty-two thousand, four".