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13120111230000 = 243541999723087
BaseRepresentation
bin1011111011101100001110…
…0100011011110000110000
31201110021022002222012122120
42332323003210123300300
53204424441433330000
643523143525034240
72522616405250455
oct276730344336060
951407262865576
1013120111230000
1141a9231826635
12157a922855980
137422b4c18948
1433503404382c
1517b43e2ae6a0
hexbeec391bc30

13120111230000 has 400 divisors, whose sum is σ = 44629248069120. Its totient is φ = 3311086464000.

The previous prime is 13120111229987. The next prime is 13120111230071. The reversal of 13120111230000 is 3211102131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×131201112300002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 568278457 + ... + 568301543.

Almost surely, 213120111230000 is an apocalyptic number.

13120111230000 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 13120111230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22314624034560).

13120111230000 is an abundant number, since it is smaller than the sum of its proper divisors (31509136839120).

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

13120111230000 is a wasteful number, since it uses less digits than its factorization.

13120111230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24134 (or 24113 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13120111230000 its reverse (3211102131), we get a palindrome (13123322332131).

The spelling of 13120111230000 in words is "thirteen trillion, one hundred twenty billion, one hundred eleven million, two hundred thirty thousand".