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120231212310112 = 25173152611355153
BaseRepresentation
bin11011010101100110000010…
…101100110101111001100000
3120202200222202220112100122111
4123111212002230311321200
5111224332010322410422
61103413242331045104
734216263344325631
oct3325460254657140
9522628686470574
10120231212310112
1135344852a22a22
12115997458a0794
1352119a70255a7
1421993165b1888
15dd7752d71a77
hex6d5982b35e60

120231212310112 has 96 divisors (see below), whose sum is σ = 258763208788224. Its totient is φ = 54743804313600.

The previous prime is 120231212310059. The next prime is 120231212310119. The reversal of 120231212310112 is 211013212132021.

It is a happy number.

It is a super-3 number, since 3×1202312123101123 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120231212310119) 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 15 ways as a sum of consecutive naturals, for example, 88043928 + ... + 89399080.

It is an arithmetic number, because the mean of its divisors is an integer number (2695450091544).

Almost surely, 2120231212310112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120231212310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129381604394112).

120231212310112 is an abundant number, since it is smaller than the sum of its proper divisors (138531996478112).

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

120231212310112 is a wasteful number, since it uses less digits than its factorization.

120231212310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360472 (or 1360464 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 120231212310112 its reverse (211013212132021), we get a palindrome (331244424442133).

The spelling of 120231212310112 in words is "one hundred twenty trillion, two hundred thirty-one billion, two hundred twelve million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 496 527 544 992 1054 2108 4216 5261 8432 10522 16864 21044 42088 84176 89437 163091 168352 178874 326182 357748 652364 715496 1304728 1355153 1430992 2609456 2710306 2772547 2861984 5218912 5420612 5545094 10841224 11090188 21682448 22180376 23037601 42009743 43364896 44360752 46075202 84019486 88721504 92150404 168038972 184300808 336077944 368601616 672155888 714165631 737203232 1344311776 1428331262 2856662524 5713325048 7129459933 11426650096 14258919866 22853300192 28517839732 57035679464 114071358928 121200818861 221013257923 228142717856 242401637722 442026515846 484803275444 884053031692 969606550888 1768106063384 1939213101776 3536212126768 3757225384691 3878426203552 7072424253536 7514450769382 15028901538764 30057803077528 60115606155056 120231212310112