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123001320000000 = 2935713372131
BaseRepresentation
bin11011111101111001111001…
…111111000100101000000000
3121010111210220110212020222110
4123331321321333010220000
5112110223200410000000
61113334005404335320
734623360242230611
oct3375717177045000
9533453813766873
10123001320000000
1136212626558482
1211966591244540
135382c89577c60
14225341d3b1c08
15e3482ebda850
hex6fde79fc4a00

123001320000000 has 1280 divisors, whose sum is σ = 453245383438848. Its totient is φ = 29445120000000.

The previous prime is 123001319999959. The next prime is 123001320000059. The reversal of 123001320000000 is 23100321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 57719998935 + ... + 57720001065.

Almost surely, 2123001320000000 is an apocalyptic number.

123001320000000 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 123001320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226622691719424).

123001320000000 is an abundant number, since it is smaller than the sum of its proper divisors (330244063438848).

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

123001320000000 is an frugal number, since it uses more digits than its factorization.

123001320000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 123001320000000 its reverse (23100321), we get a palindrome (123001343100321).

The spelling of 123001320000000 in words is "one hundred twenty-three trillion, one billion, three hundred twenty million", and thus it is an aban number.