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12120122121012 = 2232336670058917
BaseRepresentation
bin1011000001011110111110…
…0100101101101100110100
31120220200011011001002211100
42300113233210231230310
53042034002230333022
641435523544010100
72360435632131603
oct260275744555464
946820134032740
1012120122121012
113953129a6a284
121438b64460930
1369bbcbc943b9
142dc88d233a3a
1516041399a1ac
hexb05ef92db34

12120122121012 has 18 divisors (see below), whose sum is σ = 30636975361538. Its totient is φ = 4040040706992.

The previous prime is 12120122120987. The next prime is 12120122121031. The reversal of 12120122121012 is 21012122102121.

12120122121012 is a `hidden beast` number, since 1 + 21 + 201 + 221 + 210 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11035179061776 + 1084943059236 = 3321924^2 + 1041606^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 168335029423 + ... + 168335029494.

Almost surely, 212120122121012 is an apocalyptic number.

12120122121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12120122121012 is an abundant number, since it is smaller than the sum of its proper divisors (18516853240526).

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

12120122121012 is a wasteful number, since it uses less digits than its factorization.

12120122121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336670058927 (or 336670058922 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12120122121012 its reverse (21012122102121), we get a palindrome (33132244223133).

The spelling of 12120122121012 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 336670058917 673340117834 1010010176751 1346680235668 2020020353502 3030030530253 4040040707004 6060061060506 12120122121012