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12032120012031 = 3272315752890067
BaseRepresentation
bin1010111100010111001000…
…1111010011110011111111
31120121021000010112202221200
42233011302033103303333
53034113240210341111
641331251333230543
72351202102424320
oct257056217236377
946537003482850
1012032120012031
113919880085299
121423aa4792453
1369381605b572
142d8501802447
1515ceb2c16256
hexaf1723d3cff

12032120012031 has 48 divisors (see below), whose sum is σ = 20858150337024. Its totient is φ = 6534673434432.

The previous prime is 12032120011981. The next prime is 12032120012069. The reversal of 12032120012031 is 13021002123021.

12032120012031 is a `hidden beast` number, since 1 + 20 + 321 + 200 + 120 + 3 + 1 = 666.

It is not a de Polignac number, because 12032120012031 - 27 = 12032120011903 is a prime.

It is a super-2 number, since 2×120321200120312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12032120011995 and 12032120012013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032120012071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26217541 + ... + 26672526.

It is an arithmetic number, because the mean of its divisors is an integer number (434544798688).

Almost surely, 212032120012031 is an apocalyptic number.

12032120012031 is a deficient number, since it is larger than the sum of its proper divisors (8826030324993).

12032120012031 is a wasteful number, since it uses less digits than its factorization.

12032120012031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52890260 (or 52890257 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12032120012031 its reverse (13021002123021), we get a palindrome (25053122135052).

The spelling of 12032120012031 in words is "twelve trillion, thirty-two billion, one hundred twenty million, twelve thousand, thirty-one".

Divisors: 1 3 7 9 21 23 63 69 157 161 207 471 483 1099 1413 1449 3297 3611 9891 10833 25277 32499 75831 227493 52890067 158670201 370230469 476010603 1110691407 1216471541 3332074221 3649414623 8303740519 8515300787 10948243869 24911221557 25545902361 58126183633 74733664671 76637707083 174378550899 190986031937 523135652697 572958095811 1336902223559 1718874287433 4010706670677 12032120012031