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12102123033000 = 23335371113447779
BaseRepresentation
bin1011000000011011111010…
…1111101001000110101000
31120211221200202120200211000
42300012332233221012220
53041240121444024000
641423345533035000
72356230614325420
oct260067657510650
946757622520730
1012102123033000
113946532a50030
121435580625a60
1369a2c0cc2c70
142dba629a3480
1515ec0d722000
hexb01bebe91a8

12102123033000 has 1024 divisors, whose sum is σ = 56330007552000. Its totient is φ = 2321281152000.

The previous prime is 12102123032897. The next prime is 12102123033019. The reversal of 12102123033000 is 33032120121.

12102123033000 is a `hidden beast` number, since 1 + 2 + 102 + 1 + 230 + 330 + 0 + 0 = 666.

12102123033000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121021230330002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26803111 + ... + 27250889.

It is an arithmetic number, because the mean of its divisors is an integer number (55009773000).

Almost surely, 212102123033000 is an apocalyptic number.

12102123033000 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 12102123033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28165003776000).

12102123033000 is an abundant number, since it is smaller than the sum of its proper divisors (44227884519000).

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

12102123033000 is a wasteful number, since it uses less digits than its factorization.

12102123033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447840 (or 447820 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12102123033000 its reverse (33032120121), we get a palindrome (12135155153121).

The spelling of 12102123033000 in words is "twelve trillion, one hundred two billion, one hundred twenty-three million, thirty-three thousand".