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121122021402432 = 2632239142664659
BaseRepresentation
bin11011100010100011101011…
…000011110110011101000000
3120212212011002220222221202200
4123202203223003312131000
5111333430344434334212
61105334404413313200
734340530413560151
oct3342435303663500
9525764086887680
10121122021402432
1135658619489846
1211702313a95800
1352779b060b78b
1421ca4a1089928
15e009dd5616dc
hex6e28eb0f6740

121122021402432 has 84 divisors (see below), whose sum is σ = 362268944487840. Its totient is φ = 38618615515392.

The previous prime is 121122021402337. The next prime is 121122021402533. The reversal of 121122021402432 is 234204120221121.

121122021402432 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 220 + 2 + 1 + 4 + 0 + 2 + 432 = 666.

It is a super-2 number, since 2×1211220214024322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121122021402396 and 121122021402405.

It is a congruent number.

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, 4571319082 + ... + 4571345577.

Almost surely, 2121122021402432 is an apocalyptic number.

121122021402432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121122021402432 is an abundant number, since it is smaller than the sum of its proper divisors (241146923085408).

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

121122021402432 is a wasteful number, since it uses less digits than its factorization.

121122021402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9142664700 (or 9142664687 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 121122021402432 its reverse (234204120221121), we get a palindrome (355326141623553).

The spelling of 121122021402432 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, twenty-one million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 9142664659 18285329318 27427993977 36570658636 54855987954 73141317272 82283981931 109711975908 146282634544 164567963862 210281287157 219423951816 292565269088 329135927724 420562574314 438847903632 585130538176 630843861471 658271855448 841125148628 877695807264 1261687722942 1316543710896 1682250297256 1755391614528 1892531584413 2523375445884 2633087421792 3364500594512 3785063168826 5046750891768 5266174843584 6729001189024 7570126337652 10093501783536 13458002378048 15140252675304 20187003567072 30280505350608 40374007134144 60561010701216 121122021402432