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120211201221120 = 2932521727240139
BaseRepresentation
bin11011010101010011011001…
…111100100110001000000000
3120202122002010022010201011100
4123111103121330212020000
5111224020020003033440
61103400132524014400
734214654426015412
oct3325233174461000
9522562108121140
10120211201221120
113533731420a649
12115958a0091400
13520cb38267529
142198378a409b2
15dd6e81165230
hex6d54d9f26200

120211201221120 has 240 divisors, whose sum is σ = 416346094644480. Its totient is φ = 32054711427072.

The previous prime is 120211201221073. The next prime is 120211201221193. The reversal of 120211201221120 is 21122102112021.

120211201221120 is a `hidden beast` number, since 1 + 20 + 211 + 201 + 2 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 120211201221093 and 120211201221102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500470011 + ... + 500710149.

It is an arithmetic number, because the mean of its divisors is an integer number (1734775394352).

Almost surely, 2120211201221120 is an apocalyptic number.

120211201221120 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 120211201221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208173047322240).

120211201221120 is an abundant number, since it is smaller than the sum of its proper divisors (296134893423360).

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

120211201221120 is a wasteful number, since it uses less digits than its factorization.

120211201221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261895 (or 261876 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120211201221120 its reverse (21122102112021), we get a palindrome (141333303333141).

The spelling of 120211201221120 in words is "one hundred twenty trillion, two hundred eleven billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".