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120011212110020 = 2257111391879298373
BaseRepresentation
bin11011010010011001001001…
…101010101011100011000100
3120201220221220201100020102112
4123102121021222223203010
5111212230430300010040
61103124220103200152
734164344466432440
oct3322311152534304
9521827821306375
10120011212110020
113526a518606440
1211562b88146058
1351c701628b6ba
14218c806195820
15dd1b78b42365
hex6d2649aab8c4

120011212110020 has 192 divisors, whose sum is σ = 316641172377600. Its totient is φ = 37117094883840.

The previous prime is 120011212109963. The next prime is 120011212110037. The reversal of 120011212110020 is 20011212110021.

It is a super-2 number, since 2×1200112121100202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120011212109977 and 120011212110004.

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, 402069554 + ... + 402367926.

It is an arithmetic number, because the mean of its divisors is an integer number (1649172772800).

Almost surely, 2120011212110020 is an apocalyptic number.

120011212110020 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 120011212110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158320586188800).

120011212110020 is an abundant number, since it is smaller than the sum of its proper divisors (196629960267580).

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

120011212110020 is a wasteful number, since it uses less digits than its factorization.

120011212110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300418 (or 300416 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120011212110020 its reverse (20011212110021), we get a palindrome (140022424220041).

Subtracting from 120011212110020 its reverse (20011212110021), we obtain a palindrome (99999999999999).

It can be divided in two parts, 12001121 and 2110020, that added together give a palindrome (14111141).

The spelling of 120011212110020 in words is "one hundred twenty trillion, eleven billion, two hundred twelve million, one hundred ten thousand, twenty".