1212111011100 has 288 divisors, whose sum is σ = 3855269246976. Its totient is φ = 291591705600.

The previous prime is 1212111011071. The next prime is 1212111011101. The reversal of 1212111011100 is 11101112121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212111011101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 773522517 + ... + 773524083.

It is an arithmetic number, because the mean of its divisors is an integer number (13386351552).

Almost surely, 2^{1212111011100} is an apocalyptic number.

1212111011100 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 1212111011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927634623488).

1212111011100 is an abundant number, since it is smaller than the sum of its proper divisors (2643158235876).

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

1212111011100 is a wasteful number, since it uses less digits than its factorization.

1212111011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1212111011100 its reverse (11101112121), we get a palindrome (1223212123221).

It can be divided in two parts, 121211 and 1011100, that added together give a palindrome (1132311).

The spelling of 1212111011100 in words is "one trillion, two hundred twelve billion, one hundred eleven million, eleven thousand, one hundred".