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130132122120000 = 263254711131093313
BaseRepresentation
bin11101100101101010111110…
…111010011010111101000000
3122001202111202100002101202200
4131211222332322122331000
5114024041041230320000
61140433512133313200
736260510204201550
oct3545527672327500
9561674670071680
10130132122120000
11385117a5443540
1212718588495800
13577c538cc0c10
14241c5dd431160
15100a07d893500
hex765abee9af40

130132122120000 has 3360 divisors, whose sum is σ = 631746093538560. Its totient is φ = 24723947520000.

The previous prime is 130132122119983. The next prime is 130132122120043. The reversal of 130132122120000 is 21221231031.

130132122120000 is a `hidden beast` number, since 1 + 301 + 321 + 2 + 21 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 39279238344 + ... + 39279241656.

It is an arithmetic number, because the mean of its divisors is an integer number (188019670696).

Almost surely, 2130132122120000 is an apocalyptic number.

130132122120000 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 130132122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315873046769280).

130132122120000 is an abundant number, since it is smaller than the sum of its proper divisors (501613971418560).

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

130132122120000 is a wasteful number, since it uses less digits than its factorization.

130132122120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130132122120000 its reverse (21221231031), we get a palindrome (130153343351031).

The spelling of 130132122120000 in words is "one hundred thirty trillion, one hundred thirty-two billion, one hundred twenty-two million, one hundred twenty thousand".