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120213122121 = 3213357013569
BaseRepresentation
bin110111111110101000…
…0101010110001001001
3102111021212012100002100
41233331100222301021
53432144024401441
6131120344224013
711453664451461
oct1577520526111
9374255170070
10120213122121
1146a8919aa04
121b36b16b009
13b44a3b7331
145b65782ba1
1531d8a52cb6
hex1bfd42ac49

120213122121 has 6 divisors (see below), whose sum is σ = 173641176410. Its totient is φ = 80142081408.

The previous prime is 120213122021. The next prime is 120213122143. The reversal of 120213122121 is 121221312021.

120213122121 is a `hidden beast` number, since 120 + 21 + 312 + 212 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 109121872896 + 11091249225 = 330336^2 + 105315^2 .

It is not a de Polignac number, because 120213122121 - 27 = 120213121993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120213122094 and 120213122103.

It is not an unprimeable number, because it can be changed into a prime (120213122021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6678506776 + ... + 6678506793.

Almost surely, 2120213122121 is an apocalyptic number.

It is an amenable number.

120213122121 is a deficient number, since it is larger than the sum of its proper divisors (53428054289).

120213122121 is a wasteful number, since it uses less digits than its factorization.

120213122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13357013575 (or 13357013572 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120213122121 its reverse (121221312021), we get a palindrome (241434434142).

The spelling of 120213122121 in words is "one hundred twenty billion, two hundred thirteen million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 13357013569 40071040707 120213122121