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120212113320 = 2332513213115083
BaseRepresentation
bin110111111110100110…
…0110100011110101000
3102111021210022002021100
41233331030310132220
53432143300111240
6131120310441400
711453653050405
oct1577514643650
9374253262240
10120212113320
1146a88670a92
121b36a963260
13b44a123100
145b6559d2ac
1531d8903e30
hex1bfd3347a8

120212113320 has 288 divisors, whose sum is σ = 426311851680. Its totient is φ = 29362844160.

The previous prime is 120212113319. The next prime is 120212113331. The reversal of 120212113320 is 23311212021.

120212113320 is a `hidden beast` number, since 1 + 20 + 212 + 113 + 320 = 666.

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 = 120212113293 and 120212113302.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7962499 + ... + 7977581.

It is an arithmetic number, because the mean of its divisors is an integer number (1480249485).

Almost surely, 2120212113320 is an apocalyptic number.

120212113320 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 120212113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213155925840).

120212113320 is an abundant number, since it is smaller than the sum of its proper divisors (306099738360).

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

120212113320 is a wasteful number, since it uses less digits than its factorization.

120212113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15257 (or 15237 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120212113320 its reverse (23311212021), we get a palindrome (143523325341).

The spelling of 120212113320 in words is "one hundred twenty billion, two hundred twelve million, one hundred thirteen thousand, three hundred twenty".