1213119633264 has 480 divisors, whose sum is σ = 4061322558720. Its totient is φ = 308477030400.

The previous prime is 1213119633247. The next prime is 1213119633287. The reversal of 1213119633264 is 4623369113121.

It is a happy number.

It is a super-2 number, since 2×1213119633264² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262520874 + ... + 262525494.

It is an arithmetic number, because the mean of its divisors is an integer number (8461088664).

Almost surely, 2^{1213119633264} is an apocalyptic number.

1213119633264 is a gapful number since it is divisible by the number (14) 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 1213119633264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030661279360).

1213119633264 is an abundant number, since it is smaller than the sum of its proper divisors (2848202925456).

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

1213119633264 is a wasteful number, since it uses less digits than its factorization.

1213119633264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4856 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The spelling of 1213119633264 in words is "one trillion, two hundred thirteen billion, one hundred nineteen million, six hundred thirty-three thousand, two hundred sixty-four".