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121102221102012 = 223273446310325233
BaseRepresentation
bin11011100010010001001110…
…110111101100101110111100
3120212210021000000020110211200
4123202101032313230232330
5111333114322100231022
61105321331540215500
734336226635026603
oct3342211667545674
9525707000213750
10121102221102012
1135650188757aa7
12116ba50899a590
135275b76414497
1421c9543508a3a
15e002300e0bac
hex6e244edecbbc

121102221102012 has 72 divisors (see below), whose sum is σ = 310382481374784. Its totient is φ = 39805503998976.

The previous prime is 121102221101909. The next prime is 121102221102053. The reversal of 121102221102012 is 210201122201121.

121102221102012 is a `hidden beast` number, since 121 + 10 + 222 + 110 + 201 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6566148 + ... + 16891380.

It is an arithmetic number, because the mean of its divisors is an integer number (4310867796872).

Almost surely, 2121102221102012 is an apocalyptic number.

121102221102012 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 121102221102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155191240687392).

121102221102012 is an abundant number, since it is smaller than the sum of its proper divisors (189280260272772).

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

121102221102012 is a wasteful number, since it uses less digits than its factorization.

121102221102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10329779 (or 10329774 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121102221102012 its reverse (210201122201121), we get a palindrome (331303343303133).

The spelling of 121102221102012 in words is "one hundred twenty-one trillion, one hundred two billion, two hundred twenty-one million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 4463 8926 13389 17852 26778 40167 53556 80334 160668 325799 651598 977397 1303196 1954794 2932191 3909588 5864382 10325233 11728764 20650466 30975699 41300932 61951398 92927097 123902796 185854194 371708388 753742009 1507484018 2261226027 3014968036 4522452054 6783678081 9044904108 13567356162 27134712324 46081514879 92163029758 138244544637 184326059516 276489089274 414733633911 552978178548 829467267822 1658934535644 3363950586167 6727901172334 10091851758501 13455802344668 20183703517002 30275555275503 40367407034004 60551110551006 121102221102012