11012001120 has 72 divisors (see below), whose sum is σ = 37578458736. Its totient is φ = 2936533248.

The previous prime is 11012001079. The next prime is 11012001127. The reversal of 11012001120 is 2110021011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012001127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3822172 + ... + 3825051.

It is an arithmetic number, because the mean of its divisors is an integer number (521923038).

Almost surely, 2^11012001120 is an apocalyptic number.

11012001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012001120 is an abundant number, since it is smaller than the sum of its proper divisors (26566457616).

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

11012001120 is a wasteful number, since it uses less digits than its factorization.

11012001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7647244 (or 7647233 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11012001120 its reverse (2110021011), we get a palindrome (13122022131).

The spelling of 11012001120 in words is "eleven billion, twelve million, one thousand, one hundred twenty".