11211002121312 has 144 divisors (see below), whose sum is σ = 36436984496640. Its totient is φ = 3203035543296.

The previous prime is 11211002121307. The next prime is 11211002121317. The reversal of 11211002121312 is 21312120011211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11211002121307) and next prime (11211002121317).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211002121317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74474473 + ... + 74624855.

It is an arithmetic number, because the mean of its divisors is an integer number (253034614560).

Almost surely, 2^{11211002121312} is an apocalyptic number.

11211002121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11211002121312 is an abundant number, since it is smaller than the sum of its proper divisors (25225982375328).

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

11211002121312 is a wasteful number, since it uses less digits than its factorization.

11211002121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187385 (or 187374 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11211002121312 its reverse (21312120011211), we get a palindrome (32523122132523).

The spelling of 11211002121312 in words is "eleven trillion, two hundred eleven billion, two million, one hundred twenty-one thousand, three hundred twelve".