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120131212432 = 24711538118121
BaseRepresentation
bin110111111100001100…
…0001101010010010000
3102111002011001220010011
41233320120031102100
53432012042244212
6131104300444304
711451651312640
oct1577030152220
9374064056104
10120131212432
1146a46a34a50
121b347849694
13b43643896a
145b58940520
1531d17734a7
hex1bf860d490

120131212432 has 80 divisors (see below), whose sum is σ = 290257029504. Its totient is φ = 46793088000.

The previous prime is 120131212403. The next prime is 120131212433. The reversal of 120131212432 is 234212131021.

It is a super-2 number, since 2×1201312124322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (120131212433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6620332 + ... + 6638452.

Almost surely, 2120131212432 is an apocalyptic number.

It is an amenable number.

120131212432 is an abundant number, since it is smaller than the sum of its proper divisors (170125817072).

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

120131212432 is a wasteful number, since it uses less digits than its factorization.

120131212432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23528 (or 23522 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 120131212432 its reverse (234212131021), we get a palindrome (354343343453).

The spelling of 120131212432 in words is "one hundred twenty billion, one hundred thirty-one million, two hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 5381 10762 18121 21524 36242 37667 43048 59191 72484 75334 86096 118382 126847 144968 150668 199331 236764 253694 289936 301336 398662 414337 473528 507388 602672 797324 828674 947056 1014776 1395317 1594648 1657348 2029552 2790634 3189296 3314696 5581268 6629392 11162536 22325072 97509101 195018202 390036404 682563707 780072808 1072600111 1365127414 1560145616 2145200222 2730254828 4290400444 5460509656 7508200777 8580800888 10921019312 15016401554 17161601776 30032803108 60065606216 120131212432