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1201112202432 = 26319787736209
BaseRepresentation
bin10001011110100111110…
…111011011110011000000
311020211021120111211220010
4101132213313123303000
5124134334210434212
62315441110544520
7152530452160512
oct21364767336300
94224246454803
101201112202432
1142343058625a
1217494a068140
1389358b4b85c
14421c4121bb2
152139c68203c
hex117a7ddbcc0

1201112202432 has 112 divisors (see below), whose sum is σ = 3197804749920. Its totient is φ = 397873201152.

The previous prime is 1201112202421. The next prime is 1201112202449. The reversal of 1201112202432 is 2342022111021.

It is a happy number.

It is a super-3 number, since 3×12011122024323 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1201112202399 and 1201112202408.

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 15 ways as a sum of consecutive naturals, for example, 33153544 + ... + 33189752.

Almost surely, 21201112202432 is an apocalyptic number.

1201112202432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201112202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598902374960).

1201112202432 is an abundant number, since it is smaller than the sum of its proper divisors (1996692547488).

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

1201112202432 is a wasteful number, since it uses less digits than its factorization.

1201112202432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37298 (or 37288 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1201112202432 its reverse (2342022111021), we get a palindrome (3543134313453).

The spelling of 1201112202432 in words is "one trillion, two hundred one billion, one hundred twelve million, two hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 197 394 591 788 877 1182 1576 1754 2364 2631 3152 3508 4728 5262 6304 7016 9456 10524 12608 14032 18912 21048 28064 36209 37824 42096 56128 72418 84192 108627 144836 168384 172769 217254 289672 345538 434508 518307 579344 691076 869016 1036614 1158688 1382152 1738032 2073228 2317376 2764304 3476064 4146456 5528608 6952128 7133173 8292912 11057216 14266346 16585824 21399519 28532692 31755293 33171648 42799038 57065384 63510586 85598076 95265879 114130768 127021172 171196152 190531758 228261536 254042344 342392304 381063516 456523072 508084688 684784608 762127032 1016169376 1369569216 1524254064 2032338752 3048508128 6097016256 6255792721 12511585442 18767378163 25023170884 37534756326 50046341768 75069512652 100092683536 150139025304 200185367072 300278050608 400370734144 600556101216 1201112202432