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1221141001152 = 263192271474637
BaseRepresentation
bin10001110001010001101…
…011001111001111000000
311022201222102020020120010
4101301101223033033000
5130001344044014102
62332552345344520
7154140004150632
oct21612153171700
94281872206503
101221141001152
11430979295176
121787b9798140
138b1cb49a747
1443164182a52
1521b70bdad6c
hex11c51acf3c0

1221141001152 has 112 divisors (see below), whose sum is σ = 3415969434240. Its totient is φ = 383924431872.

The previous prime is 1221141001127. The next prime is 1221141001187. The reversal of 1221141001152 is 2511001411221.

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, 90778 + ... + 1565414.

Almost surely, 21221141001152 is an apocalyptic number.

1221141001152 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 1221141001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707984717120).

1221141001152 is an abundant number, since it is smaller than the sum of its proper divisors (2194828433088).

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

1221141001152 is a wasteful number, since it uses less digits than its factorization.

1221141001152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474898 (or 1474888 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

Adding to 1221141001152 its reverse (2511001411221), we get a palindrome (3732142412373).

The spelling of 1221141001152 in words is "one trillion, two hundred twenty-one billion, one hundred forty-one million, one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 227 228 304 454 456 608 681 908 912 1216 1362 1816 1824 2724 3632 3648 4313 5448 7264 8626 10896 12939 14528 17252 21792 25878 34504 43584 51756 69008 103512 138016 207024 276032 414048 828096 1474637 2949274 4423911 5898548 8847822 11797096 17695644 23594192 28018103 35391288 47188384 56036206 70782576 84054309 94376768 112072412 141565152 168108618 224144824 283130304 334742599 336217236 448289648 669485198 672434472 896579296 1004227797 1338970396 1344868944 1793158592 2008455594 2677940792 2689737888 4016911188 5355881584 5379475776 6360109381 8033822376 10711763168 12720218762 16067644752 19080328143 21423526336 25440437524 32135289504 38160656286 50880875048 64270579008 76321312572 101761750096 152642625144 203523500192 305285250288 407047000384 610570500576 1221141001152