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111221220212000 = 255361994145853
BaseRepresentation
bin11001010010011110110101…
…010100100111110100100000
3112120210122102001211100112022
4121102132311110213310200
5104034222024333241000
61032314153451121012
732266316343166103
oct3122366524476440
9476718361740468
10111221220212000
1132490722307678
1210583501743168
134a0a167cb4012
141d671c882273a
15ccd1bc348585
hex6527b5527d20

111221220212000 has 192 divisors, whose sum is σ = 277784380849248. Its totient is φ = 43753812480000.

The previous prime is 111221220211987. The next prime is 111221220212029. The reversal of 111221220212000 is 212022122111.

It can be written as a sum of positive squares in 16 ways, for example, as 36574868816656 + 74646351395344 = 6047716^2 + 8639812^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 111221220212000.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2425581074 + ... + 2425626926.

Almost surely, 2111221220212000 is an apocalyptic number.

111221220212000 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 111221220212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138892190424624).

111221220212000 is an abundant number, since it is smaller than the sum of its proper divisors (166563160637248).

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

111221220212000 is an equidigital number, since it uses as much as digits as its factorization.

111221220212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55880 (or 55862 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 111221220212000 its reverse (212022122111), we get a palindrome (111433242334111).

The spelling of 111221220212000 in words is "one hundred eleven trillion, two hundred twenty-one billion, two hundred twenty million, two hundred twelve thousand".