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121102120 = 23531127769
BaseRepresentation
bin1110011011111…
…01111100101000
322102212121212201
413031331330220
5222000231440
620003345544
73000231256
oct715757450
9272777781
10121102120
11623a48a7
12346822b4
131c121779
14121255d6
15a97219a
hex737df28

121102120 has 64 divisors (see below), whose sum is σ = 283852800. Its totient is φ = 46448640.

The previous prime is 121102049. The next prime is 121102129. The reversal of 121102120 is 21201121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 121102097 and 121102106.

It is not an unprimeable number, because it can be changed into a prime (121102129) by changing a digit.

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, 157096 + ... + 157864.

It is an arithmetic number, because the mean of its divisors is an integer number (4435200).

Almost surely, 2121102120 is an apocalyptic number.

121102120 is a gapful number since it is divisible by the number (10) 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 121102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141926400).

121102120 is an abundant number, since it is smaller than the sum of its proper divisors (162750680).

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

121102120 is a wasteful number, since it uses less digits than its factorization.

121102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 121102120 is about 11004.6408392096. The cubic root of 121102120 is about 494.7478496753.

Adding to 121102120 its reverse (21201121), we get a palindrome (142303241).

Subtracting from 121102120 its reverse (21201121), we obtain a palindrome (99900999).

The spelling of 121102120 in words is "one hundred twenty-one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 127 155 248 254 310 508 620 635 769 1016 1240 1270 1538 2540 3076 3845 3937 5080 6152 7690 7874 15380 15748 19685 23839 30760 31496 39370 47678 78740 95356 97663 119195 157480 190712 195326 238390 390652 476780 488315 781304 953560 976630 1953260 3027553 3906520 6055106 12110212 15137765 24220424 30275530 60551060 121102120