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20122101120 = 2735114322157
BaseRepresentation
bin10010101111010111…
…101110010110000000
31220221100021122111110
4102233113232112000
5312202224213440
613124410243320
71311434015562
oct225727562600
956840248443
1020122101120
118596446440
123a96a26540
131b88a89014
14d8c5cb332
157cb839080
hex4af5ee580

20122101120 has 256 divisors, whose sum is σ = 71600474880. Its totient is φ = 4764426240.

The previous prime is 20122101101. The next prime is 20122101143. The reversal of 20122101120 is 2110122102.

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

It is a junction number, because it is equal to n+sod(n) for n = 20122101096 and 20122101105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 897082 + ... + 919238.

It is an arithmetic number, because the mean of its divisors is an integer number (279689355).

Almost surely, 220122101120 is an apocalyptic number.

20122101120 is a gapful number since it is divisible by the number (20) 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 20122101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35800237440).

20122101120 is an abundant number, since it is smaller than the sum of its proper divisors (51478373760).

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

20122101120 is a wasteful number, since it uses less digits than its factorization.

20122101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22233 (or 22221 counting only the distinct ones).

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

Adding to 20122101120 its reverse (2110122102), we get a palindrome (22232223222).

The spelling of 20122101120 in words is "twenty billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty".