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120211311312 = 24321578752879
BaseRepresentation
bin110111111110100100…
…1110000101011010000
3102111021201210100010100
41233331021300223100
53432143043430222
6131120241332400
711453643200241
oct1577511605320
9374251710110
10120211311312
1146a88173474
121b36a637100
13b449c02051
145b65430cc8
1531d87e64ac
hex1bfd270ad0

120211311312 has 60 divisors (see below), whose sum is σ = 336452384320. Its totient is φ = 40067141184.

The previous prime is 120211311287. The next prime is 120211311317. The reversal of 120211311312 is 213113112021.

120211311312 is a `hidden beast` number, since 1 + 20 + 21 + 1 + 311 + 312 = 666.

It is a super-2 number, since 2×1202113113122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120211311317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2246889 + ... + 2299767.

Almost surely, 2120211311312 is an apocalyptic number.

120211311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120211311312 is an abundant number, since it is smaller than the sum of its proper divisors (216241073008).

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

120211311312 is a wasteful number, since it uses less digits than its factorization.

120211311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68680 (or 68671 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 120211311312 its reverse (213113112021), we get a palindrome (333324423333).

The spelling of 120211311312 in words is "one hundred twenty billion, two hundred eleven million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15787 31574 47361 52879 63148 94722 105758 126296 142083 158637 189444 211516 252592 284166 317274 378888 423032 475911 568332 634548 757776 846064 951822 1136664 1269096 1903644 2273328 2538192 3807288 7614576 834800773 1669601546 2504402319 3339203092 5008804638 6678406184 7513206957 10017609276 13356812368 15026413914 20035218552 30052827828 40070437104 60105655656 120211311312