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120201212118 = 231343187919073
BaseRepresentation
bin110111111110010001…
…1001111000011010110
3102111021000210020122010
41233330203033003112
53432133002241433
6131115241045050
711453461305441
oct1577443170326
9374230706563
10120201212118
1146a824a5829
121b367186786
13b447aa72b0
145b63d62658
1531d799de63
hex1bfc8cf0d6

120201212118 has 64 divisors (see below), whose sum is σ = 265070615040. Its totient is φ = 36103753728.

The previous prime is 120201212083. The next prime is 120201212119. The reversal of 120201212118 is 811212102021.

It is a junction number, because it is equal to n+sod(n) for n = 120201212094 and 120201212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201212119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6292630 + ... + 6311702.

It is an arithmetic number, because the mean of its divisors is an integer number (4141728360).

Almost surely, 2120201212118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120201212118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132535307520).

120201212118 is an abundant number, since it is smaller than the sum of its proper divisors (144869402922).

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

120201212118 is a wasteful number, since it uses less digits than its factorization.

120201212118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21013.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 120201212118 its reverse (811212102021), we get a palindrome (931413314139).

The spelling of 120201212118 in words is "one hundred twenty billion, two hundred one million, two hundred twelve thousand, one hundred eighteen".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 258 559 1118 1677 1879 3354 3758 5637 11274 19073 24427 38146 48854 57219 73281 80797 114438 146562 161594 242391 247949 484782 495898 743847 820139 1050361 1487694 1640278 2100722 2460417 3151083 4920834 6302166 10661807 21323614 31985421 35838167 63970842 71676334 107514501 215029002 465896171 931792342 1397688513 1541041181 2795377026 3082082362 4623123543 9246247086 20033535353 40067070706 60100606059 120201212118