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20010212100120 = 2335113909113781
BaseRepresentation
bin1001000110010111111011…
…00101011000100000011000
32121211221212002022221110010
410203023331211120200120
510110321403244200440
6110320321534521520
74133455465315344
oct443137545304030
977757762287403
1020010212100120
11641531307a000
1222b21436662a0
13b21c54c03c28
144d26dc632624
1524a7a168d580
hex1232fd958818

20010212100120 has 256 divisors, whose sum is σ = 66041244725760. Its totient is φ = 4850074944000.

The previous prime is 20010212100103. The next prime is 20010212100149. The reversal of 20010212100120 is 2100121201002.

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 = 20010212100096 and 20010212100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1452007630 + ... + 1452021410.

It is an arithmetic number, because the mean of its divisors is an integer number (257973612210).

Almost surely, 220010212100120 is an apocalyptic number.

20010212100120 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 20010212100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33020622362880).

20010212100120 is an abundant number, since it is smaller than the sum of its proper divisors (46031032625640).

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

20010212100120 is a wasteful number, since it uses less digits than its factorization.

20010212100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22919 (or 22893 counting only the distinct ones).

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

Adding to 20010212100120 its reverse (2100121201002), we get a palindrome (22110333301122).

The spelling of 20010212100120 in words is "twenty trillion, ten billion, two hundred twelve million, one hundred thousand, one hundred twenty".