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121132213223382 = 232236731713776067
BaseRepresentation
bin11011100010101101001010…
…100010100011111111010110
3120212220010102012201002202200
4123202231022202203333112
5111334112233041122012
61105343212011345330
734341341110612644
oct3342551242437726
9525803365632680
10121132213223382
11356619794aa769
1211704299152246
135278945c7b46a
1421cab8a8a2194
15e00dd81b03dc
hex6e2b4a8a3fd6

121132213223382 has 96 divisors (see below), whose sum is σ = 278828497988352. Its totient is φ = 37925399489472.

The previous prime is 121132213223321. The next prime is 121132213223383. The reversal of 121132213223382 is 283322312231121.

121132213223382 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 3 + 221 + 32 + 23 + 382 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121132213223383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1904913 + ... + 15680979.

It is an arithmetic number, because the mean of its divisors is an integer number (2904463520712).

Almost surely, 2121132213223382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121132213223382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139414248994176).

121132213223382 is an abundant number, since it is smaller than the sum of its proper divisors (157696284764970).

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

121132213223382 is a wasteful number, since it uses less digits than its factorization.

121132213223382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13776482 (or 13776479 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 121132213223382 in words is "one hundred twenty-one trillion, one hundred thirty-two billion, two hundred thirteen million, two hundred twenty-three thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 46 67 69 134 138 201 207 317 402 414 603 634 951 1206 1541 1902 2853 3082 4623 5706 7291 9246 13869 14582 21239 21873 27738 42478 43746 63717 65619 127434 131238 191151 382302 488497 976994 1465491 2930982 4396473 8792946 13776067 27552134 41328201 82656402 123984603 247969206 316849541 633699082 922996489 950548623 1845992978 1901097246 2768989467 2851645869 4367013239 5537978934 5703291738 8306968401 8734026478 13101039717 16613936802 21228919247 26202079434 39303119151 42457838494 63686757741 78606238302 100441304497 127373515482 191060273223 200882608994 292589887013 301323913491 382120546446 585179774026 602647826982 877769661039 903971740473 1755539322078 1807943480946 2633308983117 5266617966234 6729567401299 13459134802598 20188702203897 40377404407794 60566106611691 121132213223382