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21121220130120 = 23325117876777181
BaseRepresentation
bin1001100110101101010101…
…10100101011010101001000
32202210011120010221120111200
410303112222310223111020
510232022224323130440
6112530542104424200
74306646344621665
oct463265264532510
982704503846450
1021121220130120
116803506152950
122451525a78060
13ba2951488806
145303b5a9aa6c
15269628767c30
hex1335aad2b548

21121220130120 has 192 divisors, whose sum is σ = 74979488600640. Its totient is φ = 5113788940800.

The previous prime is 21121220130119. The next prime is 21121220130209. The reversal of 21121220130120 is 2103102212112.

21121220130120 is a `hidden beast` number, since 2 + 1 + 121 + 220 + 1 + 301 + 20 = 666.

It is a super-2 number, since 2×211212201301202 (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 = 21121220130093 and 21121220130102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272071 + ... + 6505110.

It is an arithmetic number, because the mean of its divisors is an integer number (390518169795).

Almost surely, 221121220130120 is an apocalyptic number.

21121220130120 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 21121220130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37489744300320).

21121220130120 is an abundant number, since it is smaller than the sum of its proper divisors (53858268470520).

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

21121220130120 is a wasteful number, since it uses less digits than its factorization.

21121220130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6777996 (or 6777989 counting only the distinct ones).

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

Adding to 21121220130120 its reverse (2103102212112), we get a palindrome (23224322342232).

The spelling of 21121220130120 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred twenty million, one hundred thirty thousand, one hundred twenty".