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20221121010112 = 261119101173241359
BaseRepresentation
bin1001001100100000110001…
…01111000001100111000000
32122121010020200122200011221
410212100120233001213000
510122300323434310422
6111001242120444424
74154633141422561
oct446203057014700
978533220580157
1020221121010112
1164968027127a0
122326ba4619714
13b38ac7306619
144dc9c9472168
15250ee76ac3c7
hex126418bc19c0

20221121010112 has 448 divisors, whose sum is σ = 47128351564800. Its totient is φ = 8512266240000.

The previous prime is 20221121010059. The next prime is 20221121010127. The reversal of 20221121010112 is 21101012112202.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56326242189 + ... + 56326242547.

Almost surely, 220221121010112 is an apocalyptic number.

20221121010112 is a gapful number since it is divisible by the number (22) 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 20221121010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23564175782400).

20221121010112 is an abundant number, since it is smaller than the sum of its proper divisors (26907230554688).

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

20221121010112 is a wasteful number, since it uses less digits than its factorization.

20221121010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20221121010112 its reverse (21101012112202), we get a palindrome (41322133122314).

The spelling of 20221121010112 in words is "twenty trillion, two hundred twenty-one billion, one hundred twenty-one million, ten thousand, one hundred twelve".