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20221212121110 = 2325721113291105693
BaseRepresentation
bin1001001100100000111100…
…01010100101100000010110
32122121010111001002120222100
410212100132022211200112
510122301020300333420
6111001255133342530
74154635326023400
oct446203612454026
978533431076870
1020221212121110
11649684a092840
12232700b037a46
13b38b10157160
144dc9d75cbb70
152510006a8190
hex12641e2a5816

20221212121110 has 576 divisors, whose sum is σ = 74328642722880. Its totient is φ = 3744846120960.

The previous prime is 20221212121109. The next prime is 20221212121111. The reversal of 20221212121110 is 1112121212202.

20221212121110 is a `hidden beast` number, since 2 + 0 + 221 + 212 + 121 + 110 = 666.

It is an interprime number because it is at equal distance from previous prime (20221212121109) and next prime (20221212121111).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221212121111) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17735424 + ... + 18841116.

It is an arithmetic number, because the mean of its divisors is an integer number (129042782505).

Almost surely, 220221212121110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221212121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37164321361440).

20221212121110 is an abundant number, since it is smaller than the sum of its proper divisors (54107430601770).

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

20221212121110 is a wasteful number, since it uses less digits than its factorization.

20221212121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105773 (or 1105763 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20221212121110 its reverse (1112121212202), we get a palindrome (21333333333312).

The spelling of 20221212121110 in words is "twenty trillion, two hundred twenty-one billion, two hundred twelve million, one hundred twenty-one thousand, one hundred ten".