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120221120212131 = 36716328312966139
BaseRepresentation
bin11011010101011100101001…
…001010100010110010100011
3120202200000201120110122211210
4123111130221022202302203
5111224200323233242011
61103404453054241203
734215455301032511
oct3325345112426243
9522600646418753
10120221120212131
1135340544224384
12115977a9ab6203
135210a59230293
142198a3a1174b1
15dd7361d706a6
hex6d57292a2ca3

120221120212131 has 32 divisors (see below), whose sum is σ = 164263774766080. Its totient is φ = 78189546387744.

The previous prime is 120221120212097. The next prime is 120221120212139. The reversal of 120221120212131 is 131212021122021.

It is not a de Polignac number, because 120221120212131 - 27 = 120221120212003 is a prime.

It is a super-2 number, since 2×1202211202121312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120221120212098 and 120221120212107.

It is not an unprimeable number, because it can be changed into a prime (120221120212139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2788860 + ... + 15754998.

It is an arithmetic number, because the mean of its divisors is an integer number (5133242961440).

Almost surely, 2120221120212131 is an apocalyptic number.

120221120212131 is a deficient number, since it is larger than the sum of its proper divisors (44042654553949).

120221120212131 is a wasteful number, since it uses less digits than its factorization.

120221120212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12966655.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 120221120212131 its reverse (131212021122021), we get a palindrome (251433141334152).

The spelling of 120221120212131 in words is "one hundred twenty trillion, two hundred twenty-one billion, one hundred twenty million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 67 163 201 283 489 849 10921 18961 32763 46129 56883 138387 3090643 9271929 12966139 38898417 868731313 2113480657 2606193939 3669417337 6340441971 11008252011 141603204019 245850961579 424809612057 598115025931 737552884737 1794345077793 40073706737377 120221120212131