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121000222101000 = 2335311312371011021
BaseRepresentation
bin11011100000110010001111…
…010000011000111000001000
3120212102111201112010100201110
4123200302033100120320020
5111324431423324213000
61105202422403450320
734325656205600034
oct3340621720307010
9525374645110643
10121000222101000
11356109a69a7950
12116a27a16869a0
13526936c71a308
1421c4628bad1c4
15dec76063e850
hex6e0c8f418e08

121000222101000 has 1536 divisors, whose sum is σ = 441815560542720. Its totient is φ = 27319680000000.

The previous prime is 121000222100993. The next prime is 121000222101007. The reversal of 121000222101000 is 101222000121.

It is an interprime number because it is at equal distance from previous prime (121000222100993) and next prime (121000222101007).

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

It is not an unprimeable number, because it can be changed into a prime (121000222101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 118511480490 + ... + 118511481510.

It is an arithmetic number, because the mean of its divisors is an integer number (287640338895).

Almost surely, 2121000222101000 is an apocalyptic number.

121000222101000 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 121000222101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220907780271360).

121000222101000 is an abundant number, since it is smaller than the sum of its proper divisors (320815338441720).

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

121000222101000 is a wasteful number, since it uses less digits than its factorization.

121000222101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121000222101000 its reverse (101222000121), we get a palindrome (121101444101121).

The spelling of 121000222101000 in words is "one hundred twenty-one trillion, two hundred twenty-two million, one hundred one thousand".