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12123010020000 = 253541171258707
BaseRepresentation
bin1011000001101001101110…
…1101001011001010100000
31120220221121102010120111010
42300122123231023022200
53042110411031120000
641441122305420520
72360600326642305
oct260323355131240
946827542116433
1012123010020000
113954381123560
12143962b63a740
1369c26c389179
142dca849b90ac
15160532298d50
hexb069bb4b2a0

12123010020000 has 480 divisors, whose sum is σ = 43992148806144. Its totient is φ = 2897507200000.

The previous prime is 12123010019977. The next prime is 12123010020083. The reversal of 12123010020000 is 2001032121.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46730647 + ... + 46989353.

Almost surely, 212123010020000 is an apocalyptic number.

12123010020000 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 12123010020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21996074403072).

12123010020000 is an abundant number, since it is smaller than the sum of its proper divisors (31869138786144).

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

12123010020000 is a wasteful number, since it uses less digits than its factorization.

12123010020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258822 (or 258799 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12123010020000 its reverse (2001032121), we get a palindrome (12125011052121).

The spelling of 12123010020000 in words is "twelve trillion, one hundred twenty-three billion, ten million, twenty thousand".