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13210120123200 = 2632527111317313747
BaseRepresentation
bin1100000000111011100010…
…0001000111001101000000
31201202212121222120201221200
43000032320201013031000
53212413311222420300
644032351224021200
72532254043233640
oct300167041071500
951685558521850
1013210120123200
114233420471280
121594262601800
1374a92a832a70
143395321b8520
1517d95b2e6200
hexc03b8847340

13210120123200 has 8064 divisors, whose sum is σ = 72269550452736. Its totient is φ = 2197684224000.

The previous prime is 13210120123093. The next prime is 13210120123201. The reversal of 13210120123200 is 232102101231.

13210120123200 is a `hidden beast` number, since 1 + 3 + 210 + 120 + 12 + 320 + 0 = 666.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13210120123201) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 281066385577 + ... + 281066385623.

It is an arithmetic number, because the mean of its divisors is an integer number (8961997824).

Almost surely, 213210120123200 is an apocalyptic number.

13210120123200 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 13210120123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36134775226368).

13210120123200 is an abundant number, since it is smaller than the sum of its proper divisors (59059430329536).

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

13210120123200 is a wasteful number, since it uses less digits than its factorization.

13210120123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

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

Adding to 13210120123200 its reverse (232102101231), we get a palindrome (13442222224431).

The spelling of 13210120123200 in words is "thirteen trillion, two hundred ten billion, one hundred twenty million, one hundred twenty-three thousand, two hundred".