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1212043140032 = 261737915711871
BaseRepresentation
bin10001101000110011011…
…001101001101111000000
311021212111101000000022212
4101220303121221233000
5124324231020440112
62324445510521252
7153365362463324
oct21506331515700
94255441000285
101212043140032
1142802a83348a
12176a9a966228
138a3ab67537a
144293db75984
15217dc12d522
hex11a33669bc0

1212043140032 has 112 divisors (see below), whose sum is σ = 2556337605120. Its totient is φ = 568202342400.

The previous prime is 1212043139963. The next prime is 1212043140041. The reversal of 1212043140032 is 2300413402121.

It is a super-2 number, since 2×12120431400322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647804057 + ... + 647805927.

Almost surely, 21212043140032 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 1212043140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278168802560).

1212043140032 is an abundant number, since it is smaller than the sum of its proper divisors (1344294465088).

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

1212043140032 is a wasteful number, since it uses less digits than its factorization.

1212043140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1212043140032 its reverse (2300413402121), we get a palindrome (3512456542153).

The spelling of 1212043140032 in words is "one trillion, two hundred twelve billion, forty-three million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 379 544 758 1088 1516 1571 1871 3032 3142 3742 6064 6284 6443 7484 12128 12568 12886 14968 24256 25136 25772 26707 29936 31807 50272 51544 53414 59872 63614 100544 103088 106828 119744 127228 206176 213656 254456 412352 427312 508912 595409 709109 854624 1017824 1190818 1418218 1709248 2035648 2381636 2836436 2939341 4763272 5672872 5878682 9526544 10121953 11345744 11757364 12054853 19053088 20243906 22691488 23514728 24109706 38106176 40487812 45382976 47029456 48219412 49968797 80975624 94058912 96438824 99937594 161951248 188117824 192877648 199875188 323902496 385755296 399750376 647804992 771510592 799500752 1114010239 1599001504 2228020478 3198003008 4456040956 8912081912 17824163824 18938174063 35648327648 37876348126 71296655296 75752696252 151505392504 303010785008 606021570016 1212043140032