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120021222012 = 22329839411071
BaseRepresentation
bin110111111000111010…
…0101000001001111100
3102110210111002210121220
41233301310220021330
53431300413101022
6131045331153340
711446144361106
oct1576164501174
9373714083556
10120021222012
114699a93a57a
121b316a45850
13b419707a83
145b480ac576
1531c6c9885c
hex1bf1d2827c

120021222012 has 48 divisors (see below), whose sum is σ = 290052403200. Its totient is φ = 38581385920.

The previous prime is 120021222001. The next prime is 120021222043. The reversal of 120021222012 is 210222120021.

It is a junction number, because it is equal to n+sod(n) for n = 120021221982 and 120021222000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86437 + ... + 497507.

It is an arithmetic number, because the mean of its divisors is an integer number (6042758400).

Almost surely, 2120021222012 is an apocalyptic number.

120021222012 is a gapful number since it is divisible by the number (12) 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 120021222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145026201600).

120021222012 is an abundant number, since it is smaller than the sum of its proper divisors (170031181188).

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

120021222012 is a wasteful number, since it uses less digits than its factorization.

120021222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411946 (or 411944 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120021222012 its reverse (210222120021), we get a palindrome (330243342033).

The spelling of 120021222012 in words is "one hundred twenty billion, twenty-one million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 839 1678 2517 3356 5034 10068 24331 48662 72993 97324 145986 291972 411071 822142 1233213 1644284 2466426 4932852 11921059 23842118 35763177 47684236 71526354 143052708 344888569 689777138 1034665707 1379554276 2069331414 4138662828 10001768501 20003537002 30005305503 40007074004 60010611006 120021222012