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121201313320032 = 25311196040735313
BaseRepresentation
bin11011100011101101100001…
…001110100000110001100000
3120220010201202220201201022120
4123203231201032200301200
5111341230242202220112
61105435040434304240
734346335350005451
oct3343554116406140
9526121686651276
10121201313320032
1135689208726060
1211715762728080
135282308b3440a
1421d0263b85128
15e02ace7b2e8c
hex6e3b613a0c60

121201313320032 has 96 divisors (see below), whose sum is σ = 365343671790720. Its totient is φ = 34794635397120.

The previous prime is 121201313319973. The next prime is 121201313320033. The reversal of 121201313320032 is 230023313102121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 121201313319984 and 121201313320011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121201313320033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3020347593 + ... + 3020387720.

It is an arithmetic number, because the mean of its divisors is an integer number (3805663247820).

Almost surely, 2121201313320032 is an apocalyptic number.

121201313320032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121201313320032 is an abundant number, since it is smaller than the sum of its proper divisors (244142358470688).

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

121201313320032 is a wasteful number, since it uses less digits than its factorization.

121201313320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6040735356 (or 6040735348 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 121201313320032 its reverse (230023313102121), we get a palindrome (351224626422153).

The spelling of 121201313320032 in words is "one hundred twenty-one trillion, two hundred one billion, three hundred thirteen million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6688 10032 20064 6040735313 12081470626 18122205939 24162941252 36244411878 48325882504 66448088443 72488823756 96651765008 114773970947 132896176886 144977647512 193303530016 199344265329 229547941894 265792353772 289955295024 344321912841 398688530658 459095883788 531584707544 579910590048 688643825682 797377061316 918191767576 1063169415088 1262513680417 1377287651364 1594754122632 1836383535152 2126338830176 2525027360834 2754575302728 3189508245264 3672767070304 3787541041251 5050054721668 5509150605456 6379016490528 7575082082502 10100109443336 11018301210912 15150164165004 20200218886672 30300328330008 40400437773344 60600656660016 121201313320032