11211001200120 has 512 divisors, whose sum is σ = 35825019552000. Its totient is φ = 2802277416960.

The previous prime is 11211001200109. The next prime is 11211001200131. The reversal of 11211001200120 is 2100210011211.

It is an interprime number because it is at equal distance from previous prime (11211001200109) and next prime (11211001200131).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11211001200096 and 11211001200105.

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, 13857850276 + ... + 13857851084.

Almost surely, 2^{11211001200120} is an apocalyptic number.

11211001200120 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 11211001200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17912509776000).

11211001200120 is an abundant number, since it is smaller than the sum of its proper divisors (24614018351880).

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

11211001200120 is a wasteful number, since it uses less digits than its factorization.

11211001200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11211001200120 its reverse (2100210011211), we get a palindrome (13311211211331).

The spelling of 11211001200120 in words is "eleven trillion, two hundred eleven billion, one million, two hundred thousand, one hundred twenty".