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121012140 = 2235191011051
BaseRepresentation
bin1110011011001…
…11111110101100
322102201001110010
413031213332230
5221434342030
620001413220
72666405034
oct715477654
9272631403
10121012140
1162343237
123463a210
131c0bc822
14121008c4
15a9556b0
hex7367fac

121012140 has 96 divisors (see below), whose sum is σ = 360541440. Its totient is φ = 30240000.

The previous prime is 121012139. The next prime is 121012141. The reversal of 121012140 is 41210121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121012139) and next prime (121012141).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (121012141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114615 + ... + 115665.

It is an arithmetic number, because the mean of its divisors is an integer number (3755640).

Almost surely, 2121012140 is an apocalyptic number.

121012140 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 121012140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180270720).

121012140 is an abundant number, since it is smaller than the sum of its proper divisors (239529300).

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

121012140 is a wasteful number, since it uses less digits than its factorization.

121012140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 121012140 is about 11000.5518043415. The cubic root of 121012140 is about 494.6252852322.

Adding to 121012140 its reverse (41210121), we get a palindrome (162222261).

It can be divided in two parts, 12101 and 2140, that added together give a palindrome (14241).

The spelling of 121012140 in words is "one hundred twenty-one million, twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 101 114 190 202 228 285 303 380 404 505 570 606 1010 1051 1140 1212 1515 1919 2020 2102 3030 3153 3838 4204 5255 5757 6060 6306 7676 9595 10510 11514 12612 15765 19190 19969 21020 23028 28785 31530 38380 39938 57570 59907 63060 79876 99845 106151 115140 119814 199690 212302 239628 299535 318453 399380 424604 530755 599070 636906 1061510 1198140 1273812 1592265 2016869 2123020 3184530 4033738 6050607 6369060 8067476 10084345 12101214 20168690 24202428 30253035 40337380 60506070 121012140