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120022200120000 = 263541913952259
BaseRepresentation
bin11011010010100011011000…
…100110100111001011000000
3120201222000021111012222110010
4123102203120212213023000
5111212420431212320000
61103133234302304520
734165214002120113
oct3322433046471300
9521860244188403
10120022200120000
1135274146aa4a22
1211565133b88140
1351c8077878759
14218d16962457a
15dd20bd613d50
hex6d28d89a72c0

120022200120000 has 280 divisors, whose sum is σ = 396849726187200. Its totient is φ = 32003635328000.

The previous prime is 120022200119981. The next prime is 120022200120001. The reversal of 120022200120000 is 21002220021.

120022200120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120022200120001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2296653871 + ... + 2296706129.

Almost surely, 2120022200120000 is an apocalyptic number.

120022200120000 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 120022200120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198424863093600).

120022200120000 is an abundant number, since it is smaller than the sum of its proper divisors (276827526067200).

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

120022200120000 is an equidigital number, since it uses as much as digits as its factorization.

120022200120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71433 (or 71408 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120022200120000 its reverse (21002220021), we get a palindrome (120043202340021).

The spelling of 120022200120000 in words is "one hundred twenty trillion, twenty-two billion, two hundred million, one hundred twenty thousand".