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12120110330020 = 225711371135213613
BaseRepresentation
bin1011000001011110111011…
…0111101111000010100100
31120220200010022212001121221
42300113232313233002210
53042033441221030040
641435522443150124
72360435426662540
oct260275667570244
946820108761557
1012120110330020
113953123346560
121438b60515344
1369bbc96c6594
142dc88b844a20
1516041291b74a
hexb05eedef0a4

12120110330020 has 384 divisors, whose sum is σ = 32950925908992. Its totient is φ = 3635070566400.

The previous prime is 12120110329997. The next prime is 12120110330023. The reversal of 12120110330020 is 2003301102121.

It is a junction number, because it is equal to n+sod(n) for n = 12120110329976 and 12120110330003.

It is not an unprimeable number, because it can be changed into a prime (12120110330023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3354581734 + ... + 3354585346.

It is an arithmetic number, because the mean of its divisors is an integer number (85809702888).

Almost surely, 212120110330020 is an apocalyptic number.

12120110330020 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 12120110330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475462954496).

12120110330020 is an abundant number, since it is smaller than the sum of its proper divisors (20830815578972).

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

12120110330020 is a wasteful number, since it uses less digits than its factorization.

12120110330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12120110330020 its reverse (2003301102121), we get a palindrome (14123411432141).

The spelling of 12120110330020 in words is "twelve trillion, one hundred twenty billion, one hundred ten million, three hundred thirty thousand, twenty".