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121320311332032 = 2632683308382929
BaseRepresentation
bin11011100101011100010110…
…000011111001110011000000
3120220120002221002111001200100
4123211130112003321303000
5111400202444200111112
61110005440454522400
734361050261300161
oct3345342603716300
9526502832431610
10121320311332032
1135724722a2981a
1211734832966400
1352905c1566777
1421d5d11dc3768
15e05c467e32dc
hex6e57160f9cc0

121320311332032 has 84 divisors (see below), whose sum is σ = 348251908722120. Its totient is φ = 40380894124032.

The previous prime is 121320311332013. The next prime is 121320311332043. The reversal of 121320311332032 is 230233113023121.

121320311332032 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 20 + 311 + 3 + 320 + 3 + 2 = 666.

It is a super-2 number, since 2×1213203113320322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121320311331987 and 121320311332005.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 153798057 + ... + 154584872.

Almost surely, 2121320311332032 is an apocalyptic number.

121320311332032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121320311332032 is an abundant number, since it is smaller than the sum of its proper divisors (226931597390088).

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

121320311332032 is a wasteful number, since it uses less digits than its factorization.

121320311332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308383630 (or 308383617 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 121320311332032 its reverse (230233113023121), we get a palindrome (351553424355153).

The spelling of 121320311332032 in words is "one hundred twenty-one trillion, three hundred twenty billion, three hundred eleven million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 683 1366 2049 2732 4098 5464 6147 8196 10928 12294 16392 21856 24588 32784 43712 49176 65568 98352 131136 196704 393408 308382929 616765858 925148787 1233531716 1850297574 2467063432 2775446361 3700595148 4934126864 5550892722 7401190296 9868253728 11101785444 14802380592 19736507456 22203570888 29604761184 44407141776 59209522368 88814283552 177628567104 210625540507 421251081014 631876621521 842502162028 1263753243042 1685004324056 1895629864563 2527506486084 3370008648112 3791259729126 5055012972168 6740017296224 7582519458252 10110025944336 13480034592448 15165038916504 20220051888672 30330077833008 40440103777344 60660155666016 121320311332032