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110221221220000 = 2554111014960451
BaseRepresentation
bin11001000011111011100000…
…101111001100111010100000
3112110021001020102022010202121
4121003323200233030322200
5103421331030113020000
61030230532514154024
732134135420045612
oct3103734057147240
9473231212263677
10110221221220000
1132135614a10040
121044173bb82914
134966a7ccac237
141d30a4259cdb2
15cb2190c30b1a
hex643ee0bccea0

110221221220000 has 240 divisors, whose sum is σ = 298740602581344. Its totient is φ = 39683600000000.

The previous prime is 110221221219983. The next prime is 110221221220013. The reversal of 110221221220000 is 22122122011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 39 ways as a sum of consecutive naturals, for example, 19739775 + ... + 24700225.

Almost surely, 2110221221220000 is an apocalyptic number.

110221221220000 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 110221221220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149370301290672).

110221221220000 is an abundant number, since it is smaller than the sum of its proper divisors (188519381361344).

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

110221221220000 is a wasteful number, since it uses less digits than its factorization.

110221221220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4960593 (or 4960570 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110221221220000 its reverse (22122122011), we get a palindrome (110243343342011).

The spelling of 110221221220000 in words is "one hundred ten trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred twenty thousand".