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121112010992 = 24719443128473
BaseRepresentation
bin111000011001011010…
…1101010000011110000
3102120121111121121210202
41300302311222003300
53441014133322432
6131345454414332
711515161051650
oct1606265520360
9376544547722
10121112010992
11473aa633475
121b5802013a8
13b5616b203b
145c0ccd0360
15323c910462
hex1c32d6a0f0

121112010992 has 80 divisors (see below), whose sum is σ = 282930581760. Its totient is φ = 49061915136.

The previous prime is 121112010979. The next prime is 121112011043. The reversal of 121112010992 is 299010211121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878468 + ... + 1006940.

It is an arithmetic number, because the mean of its divisors is an integer number (3536632272).

Almost surely, 2121112010992 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 121112010992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141465290880).

121112010992 is an abundant number, since it is smaller than the sum of its proper divisors (161818570768).

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

121112010992 is a wasteful number, since it uses less digits than its factorization.

121112010992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128950 (or 128944 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 29.

The spelling of 121112010992 in words is "one hundred twenty-one billion, one hundred twelve million, ten thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 443 532 886 1064 1772 2128 3101 3544 6202 7088 8417 12404 16834 24808 33668 49616 58919 67336 117838 128473 134672 235676 256946 471352 513892 899311 942704 1027784 1798622 2055568 2440987 3597244 4881974 7194488 9763948 14388976 17086909 19527896 34173818 39055792 56913539 68347636 113827078 136695272 227654156 273390544 398394773 455308312 796789546 910616624 1081357241 1593579092 2162714482 3187158184 4325428964 6374316368 7569500687 8650857928 15139001374 17301715856 30278002748 60556005496 121112010992