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120212212120 = 235711134369821
BaseRepresentation
bin110111111110100110…
…1001100100110011000
3102111021210111002210121
41233331031030212120
53432143311241440
6131120312523024
711453653641430
oct1577515144630
9374253432717
10120212212120
1146a88729240
121b36a9b0474
13b44a159080
145b655c72c0
1531d892334a
hex1bfd34c998

120212212120 has 256 divisors, whose sum is σ = 371609441280. Its totient is φ = 33781708800.

The previous prime is 120212212117. The next prime is 120212212151. The reversal of 120212212120 is 21212212021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120212212094 and 120212212103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1686810 + ... + 1756630.

It is an arithmetic number, because the mean of its divisors is an integer number (1451599380).

Almost surely, 2120212212120 is an apocalyptic number.

120212212120 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 120212212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185804720640).

120212212120 is an abundant number, since it is smaller than the sum of its proper divisors (251397229160).

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

120212212120 is a wasteful number, since it uses less digits than its factorization.

120212212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69906 (or 69902 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120212212120 its reverse (21212212021), we get a palindrome (141424424141).

Subtracting from 120212212120 its reverse (21212212021), we obtain a palindrome (99000000099).

The spelling of 120212212120 in words is "one hundred twenty billion, two hundred twelve million, two hundred twelve thousand, one hundred twenty".