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13012121211120 = 24325313137012657
BaseRepresentation
bin1011110101011001111011…
…0111001101000011110000
31201001221120002200212000200
42331112132313031003300
53201142311012223440
643401404100115200
72512044331242333
oct275263667150360
951057502625020
1013012121211120
114167456220049
121561a05095b00
13735064c7c1a5
1432db0bb9661a
1517871d89bc30
hexbd59edcd0f0

13012121211120 has 480 divisors, whose sum is σ = 45334414554624. Its totient is φ = 3341205504000.

The previous prime is 13012121211031. The next prime is 13012121211169. The reversal of 13012121211120 is 2111212121031.

It is a happy number.

13012121211120 is a `hidden beast` number, since 1 + 301 + 21 + 212 + 11 + 120 = 666.

It is a super-2 number, since 2×130121212111202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13012121211093 and 13012121211102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4897296832 + ... + 4897299488.

Almost surely, 213012121211120 is an apocalyptic number.

13012121211120 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 13012121211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22667207277312).

13012121211120 is an abundant number, since it is smaller than the sum of its proper divisors (32322293343504).

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

13012121211120 is a wasteful number, since it uses less digits than its factorization.

13012121211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 13012121211120 its reverse (2111212121031), we get a palindrome (15123333332151).

The spelling of 13012121211120 in words is "thirteen trillion, twelve billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty".