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21120030221220 = 223257296731127739
BaseRepresentation
bin1001100110101011000111…
…11001100010001110100100
32202210001111012220221100200
410303111203321202032210
510232012310214034340
6112530224040510500
74306605015562560
oct463254371421644
982701435827320
1021120030221220
116802a55509767
12245125347b430
13ba27c1ab84c8
14530301a366a0
152695a9072330
hex133563e623a4

21120030221220 has 576 divisors, whose sum is σ = 77121212313600. Its totient is φ = 4576477086720.

The previous prime is 21120030221219. The next prime is 21120030221233. The reversal of 21120030221220 is 2212203002112.

21120030221220 is a `hidden beast` number, since 2 + 1 + 120 + 0 + 302 + 21 + 220 = 666.

It is a super-2 number, since 2×211200302212202 (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 = 21120030221193 and 21120030221202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 761370111 + ... + 761397849.

It is an arithmetic number, because the mean of its divisors is an integer number (133890993600).

Almost surely, 221120030221220 is an apocalyptic number.

21120030221220 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 21120030221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38560606156800).

21120030221220 is an abundant number, since it is smaller than the sum of its proper divisors (56001182092380).

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

21120030221220 is a wasteful number, since it uses less digits than its factorization.

21120030221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28168 (or 28163 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21120030221220 its reverse (2212203002112), we get a palindrome (23332233223332).

The spelling of 21120030221220 in words is "twenty-one trillion, one hundred twenty billion, thirty million, two hundred twenty-one thousand, two hundred twenty".