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1221120006 = 231946722937
BaseRepresentation
bin100100011001000…
…1101000000000110
310011002202022201220
41020302031000012
510000101320011
6321100501210
742155230431
oct11062150006
93132668656
101221120006
11577321597
122a0b4a806
13165caa622
14b826a818
157230d506
hex48c8d006

1221120006 has 32 divisors (see below), whose sum is σ = 2576396160. Its totient is φ = 384774336.

The previous prime is 1221120001. The next prime is 1221120007. The reversal of 1221120006 is 6000211221.

It is a super-3 number, since 3×12211200063 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221120001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41770 + ... + 64706.

It is an arithmetic number, because the mean of its divisors is an integer number (80512380).

Almost surely, 21221120006 is an apocalyptic number.

1221120006 is an abundant number, since it is smaller than the sum of its proper divisors (1355276154).

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

1221120006 is a wasteful number, since it uses less digits than its factorization.

1221120006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23428.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1221120006 is about 34944.5275543968. The cubic root of 1221120006 is about 1068.8566136658.

Adding to 1221120006 its reverse (6000211221), we get a palindrome (7221331227).

The spelling of 1221120006 in words is "one billion, two hundred twenty-one million, one hundred twenty thousand, six".

Divisors: 1 2 3 6 19 38 57 114 467 934 1401 2802 8873 17746 22937 26619 45874 53238 68811 137622 435803 871606 1307409 2614818 10711579 21423158 32134737 64269474 203520001 407040002 610560003 1221120006