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121021221200220 = 223451123731655207
BaseRepresentation
bin11011100001000101110010…
…111001100110000101011100
3120212111111220222122010110000
4123201011302321212011130
5111330302430111401340
61105220214223214300
734330331452153455
oct3341056271460534
9525444828563400
10121021221200220
11356198a2394a00
12116a6882147390
13526b3380a8103
1421c565ba4a12c
15ded08de5ed30
hex6e1172e6615c

121021221200220 has 360 divisors, whose sum is σ = 418418116899552. Its totient is φ = 29259804752640.

The previous prime is 121021221200219. The next prime is 121021221200227. The reversal of 121021221200220 is 22002122120121.

It is a happy number.

121021221200220 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 21 + 221 + 200 + 220 = 666.

It is a super-2 number, since 2×1210212212002202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121021221200193 and 121021221200202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121021221200227) 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 119 ways as a sum of consecutive naturals, for example, 72287857 + ... + 73943063.

Almost surely, 2121021221200220 is an apocalyptic number.

121021221200220 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 121021221200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209209058449776).

121021221200220 is an abundant number, since it is smaller than the sum of its proper divisors (297396895699332).

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

121021221200220 is a wasteful number, since it uses less digits than its factorization.

121021221200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655623 (or 1655601 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121021221200220 its reverse (22002122120121), we get a palindrome (143023343320341).

The spelling of 121021221200220 in words is "one hundred twenty-one trillion, twenty-one billion, two hundred twenty-one million, two hundred thousand, two hundred twenty".