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1201132013312 = 28711163737223
BaseRepresentation
bin10001011110101001000…
…011000000011100000000
311020211022221210100022102
4101132221003000130000
5124134404243411222
62315443055325532
7152531112441260
oct21365103003400
94224287710272
101201132013312
11423440787490
121749548208a8
138935cc96b7a
14421c69db7a0
152139e296d92
hex117a90c0700

1201132013312 has 144 divisors (see below), whose sum is σ = 2991087171072. Its totient is φ = 467675074560.

The previous prime is 1201132013293. The next prime is 1201132013327. The reversal of 1201132013312 is 2133102311021.

It is a happy number.

It is a super-2 number, since 2×12011320133122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32249933 + ... + 32287155.

It is an arithmetic number, because the mean of its divisors is an integer number (20771438688).

Almost surely, 21201132013312 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 1201132013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495543585536).

1201132013312 is an abundant number, since it is smaller than the sum of its proper divisors (1789955157760).

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

1201132013312 is a wasteful number, since it uses less digits than its factorization.

1201132013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38894 (or 38880 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1201132013312 its reverse (2133102311021), we get a palindrome (3334234324333).

The spelling of 1201132013312 in words is "one trillion, two hundred one billion, one hundred thirty-two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1637 1792 2464 2816 3274 4928 6548 9856 11459 13096 18007 19712 22918 26192 36014 37223 45836 52384 72028 74446 91672 104768 126049 144056 148892 183344 209536 252098 260561 288112 297784 366688 409453 419072 504196 521122 576224 595568 733376 818906 1008392 1042244 1152448 1191136 1466752 1637812 2016784 2084488 2304896 2382272 2866171 2933504 3275624 4033568 4168976 4609792 4764544 5732342 6551248 8067136 8337952 9529088 11464684 13102496 16134272 16675904 22929368 26204992 32268544 33351808 45858736 52409984 60934051 66703616 91717472 104819968 121868102 183434944 243736204 366869888 426538357 487472408 670274561 733739776 853076714 974944816 1340549122 1706153428 1949889632 2681098244 3412306856 3899779264 4691921927 5362196488 6824613712 7799558528 9383843854 10724392976 13649227424 15599117056 18767687708 21448785952 27298454848 37535375416 42897571904 54596909696 75070750832 85795143808 109193819392 150141501664 171590287616 300283003328 600566006656 1201132013312