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121112211111100 = 2252115322331729387
BaseRepresentation
bin11011100010011010100010…
…010100100011110010111100
3120212211012210020012112000021
4123202122202110203302330
5111333300302021023400
61105330103124541524
734340032331510536
oct3342324224436274
9525735706175007
10121112211111100
1135654444868760
12117004365518a4
135276aa9014271
1421c9c101ca856
15e0061717871a
hex6e26a2523cbc

121112211111100 has 288 divisors, whose sum is σ = 294360755705856. Its totient is φ = 42878922777600.

The previous prime is 121112211111097. The next prime is 121112211111109. The reversal of 121112211111100 is 1111112211121.

121112211111100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112211111109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4121270607 + ... + 4121299993.

It is an arithmetic number, because the mean of its divisors is an integer number (1022085957312).

Almost surely, 2121112211111100 is an apocalyptic number.

121112211111100 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 121112211111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147180377852928).

121112211111100 is an abundant number, since it is smaller than the sum of its proper divisors (173248544594756).

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

121112211111100 is a wasteful number, since it uses less digits than its factorization.

121112211111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30005 (or 29998 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 121112211111100 its reverse (1111112211121), we get a palindrome (122223323322221).

The spelling of 121112211111100 in words is "one hundred twenty-one trillion, one hundred twelve billion, two hundred eleven million, one hundred eleven thousand, one hundred".