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10023123120000 = 27354277150769
BaseRepresentation
bin1001000111011011000010…
…1100010110111110000000
31022111012102200110110022020
42101312300230112332000
52303204324004320000
633152320441441440
72053101222541314
oct221666054267600
938435380413266
1010023123120000
113214867776351
12115a66b7a0280
1357923a894753
1426919c109b44
15125acee72ba0
hex91db0b16f80

10023123120000 has 320 divisors, whose sum is σ = 33389578477200. Its totient is φ = 2663165952000.

The previous prime is 10023123119987. The next prime is 10023123120013. The reversal of 10023123120000 is 2132132001.

It is an interprime number because it is at equal distance from previous prime (10023123119987) and next prime (10023123120013).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66404616 + ... + 66555384.

Almost surely, 210023123120000 is an apocalyptic number.

10023123120000 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 10023123120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694789238600).

10023123120000 is an abundant number, since it is smaller than the sum of its proper divisors (23366455357200).

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

10023123120000 is an equidigital number, since it uses as much as digits as its factorization.

10023123120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151083 (or 151056 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10023123120000 its reverse (2132132001), we get a palindrome (10025255252001).

The spelling of 10023123120000 in words is "ten trillion, twenty-three billion, one hundred twenty-three million, one hundred twenty thousand".