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12001100000120 = 23571143257352589
BaseRepresentation
bin1010111010100011100101…
…0011010110101101111000
31120111021221021220220021122
42232220321103112231320
53033111223100000440
641305121302524412
72346023305605650
oct256507123265570
946437837826248
1012001100000120
11390770209a210
121419a88136708
1369091157062a
142d6bdbb1b360
1515c2997a67b5
hexaea394d6b78

12001100000120 has 256 divisors, whose sum is σ = 34582478515200. Its totient is φ = 3639385128960.

The previous prime is 12001100000111. The next prime is 12001100000129. The reversal of 12001100000120 is 2100000110021.

It is an interprime number because it is at equal distance from previous prime (12001100000111) and next prime (12001100000129).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 12001100000098 and 12001100000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001100000129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33860786 + ... + 34213374.

It is an arithmetic number, because the mean of its divisors is an integer number (135087806700).

Almost surely, 212001100000120 is an apocalyptic number.

12001100000120 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 12001100000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17291239257600).

12001100000120 is an abundant number, since it is smaller than the sum of its proper divisors (22581378515080).

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

12001100000120 is a wasteful number, since it uses less digits than its factorization.

12001100000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352918 (or 352914 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12001100000120 its reverse (2100000110021), we get a palindrome (14101100110141).

The spelling of 12001100000120 in words is "twelve trillion, one billion, one hundred million, one hundred twenty", and thus it is an aban number.