221111121001200 has 120 divisors (see below), whose sum is σ = 708299603559408. Its totient is φ = 58962384599040.

The previous prime is 221111121001181. The next prime is 221111121001241. The reversal of 221111121001200 is 2100121111122.

It is a happy number.

221111121001200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221111121001200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128622534 + ... + 130330266.

Almost surely, 2^{221111121001200} is an apocalyptic number.

221111121001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221111121001200 is an abundant number, since it is smaller than the sum of its proper divisors (487188482558208).

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

221111121001200 is a wasteful number, since it uses less digits than its factorization.

221111121001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815651 (or 1815640 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221111121001200 its reverse (2100121111122), we get a palindrome (223211242112322).

The spelling of 221111121001200 in words is "two hundred twenty-one trillion, one hundred eleven billion, one hundred twenty-one million, one thousand, two hundred".