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13121020121220 = 22325113192882461
BaseRepresentation
bin1011111011101111100110…
…1111100101000010000100
31201110100122110012200000100
42332323321233211002010
53204433322122334340
643523414033444100
72522651052560214
oct276737157450204
951410573180010
1013121020121220
1141a9658881000
12157ab37110630
137423cb3062bb
143350bca36244
1517b493e95830
hexbeef9be5084

13121020121220 has 288 divisors, whose sum is σ = 46081574098560. Its totient is φ = 3013438982400.

The previous prime is 13121020121207. The next prime is 13121020121267. The reversal of 13121020121220 is 2212102012131.

13121020121220 is a `hidden beast` number, since 1 + 31 + 210 + 201 + 2 + 1 + 220 = 666.

It is a super-2 number, since 2×131210201212202 (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 = 13121020121193 and 13121020121202.

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, 3110790 + ... + 5993250.

It is an arithmetic number, because the mean of its divisors is an integer number (160005465620).

Almost surely, 213121020121220 is an apocalyptic number.

13121020121220 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 13121020121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23040787049280).

13121020121220 is an abundant number, since it is smaller than the sum of its proper divisors (32960553977340).

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

13121020121220 is a wasteful number, since it uses less digits than its factorization.

13121020121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882528 (or 2882501 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13121020121220 its reverse (2212102012131), we get a palindrome (15333122133351).

The spelling of 13121020121220 in words is "thirteen trillion, one hundred twenty-one billion, twenty million, one hundred twenty-one thousand, two hundred twenty".