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121127130 = 23354310433
BaseRepresentation
bin1110011100001…
…00000011011010
322102220220012000
413032010003122
5222002032010
620004101430
73000364215
oct716040332
9272826160
10121127130
1162411673
1234694876
131c12cc77
141213077c
15a9797c0
hex73840da

121127130 has 64 divisors (see below), whose sum is σ = 330549120. Its totient is φ = 31546368.

The previous prime is 121127119. The next prime is 121127189. The reversal of 121127130 is 31721121.

It is a happy number.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6394 + ... + 16826.

It is an arithmetic number, because the mean of its divisors is an integer number (5164830).

Almost surely, 2121127130 is an apocalyptic number.

121127130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121127130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165274560).

121127130 is an abundant number, since it is smaller than the sum of its proper divisors (209421990).

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

121127130 is a wasteful number, since it uses less digits than its factorization.

121127130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10492 (or 10486 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 121127130 is about 11005.7771193133. Note that the first 3 decimals coincide. The cubic root of 121127130 is about 494.7819057596.

Adding to 121127130 its reverse (31721121), we get a palindrome (152848251).

The spelling of 121127130 in words is "one hundred twenty-one million, one hundred twenty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1935 2322 3870 5805 10433 11610 20866 31299 52165 62598 93897 104330 156495 187794 281691 312990 448619 469485 563382 897238 938970 1345857 1408455 2243095 2691714 2816910 4037571 4486190 6729285 8075142 12112713 13458570 20187855 24225426 40375710 60563565 121127130