11213261751120 has 640 divisors, whose sum is σ = 41336322306048. Its totient is φ = 2499476981760.

The previous prime is 11213261751047. The next prime is 11213261751143. The reversal of 11213261751120 is 2115716231211.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1092160227 + ... + 1092170493.

Almost surely, 2^{11213261751120} is an apocalyptic number.

11213261751120 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 11213261751120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20668161153024).

11213261751120 is an abundant number, since it is smaller than the sum of its proper divisors (30123060554928).

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

11213261751120 is a wasteful number, since it uses less digits than its factorization.

11213261751120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10592 (or 10564 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

Adding to 11213261751120 its reverse (2115716231211), we get a palindrome (13328977982331).

The spelling of 11213261751120 in words is "eleven trillion, two hundred thirteen billion, two hundred sixty-one million, seven hundred fifty-one thousand, one hundred twenty".