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23130123120000 = 2732541343101569
BaseRepresentation
bin1010100001001011001101…
…10001011010110110000000
310000220012220001100011121200
411100211212301122312000
511012430443004320000
6121105455403421200
74605045004400541
oct520454661326600
9100805801304550
1023130123120000
117408480555806
122716933524800
13cba213365520
1459d70ab0c4c8
152a1a0315d500
hex150966c5ad80

23130123120000 has 1920 divisors, whose sum is σ = 92723604573600. Its totient is φ = 5496422400000.

The previous prime is 23130123119947. The next prime is 23130123120017. The reversal of 23130123120000 is 2132103132.

23130123120000 is a `hidden beast` number, since 231 + 3 + 0 + 1 + 231 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 40650479716 + ... + 40650480284.

Almost surely, 223130123120000 is an apocalyptic number.

23130123120000 is a gapful number since it is divisible by the number (20) 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 23130123120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46361802286800).

23130123120000 is an abundant number, since it is smaller than the sum of its proper divisors (69593481453600).

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

23130123120000 is a wasteful number, since it uses less digits than its factorization.

23130123120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 736 counting only the distinct ones).

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

Adding to 23130123120000 its reverse (2132103132), we get a palindrome (23132255223132).

The spelling of 23130123120000 in words is "twenty-three trillion, one hundred thirty billion, one hundred twenty-three million, one hundred twenty thousand".