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121241142 = 232112379337
BaseRepresentation
bin1110011100111…
…11111000110110
322110010200120200
413032133320312
5222014204032
620010341330
73001350501
oct716377066
9273120520
10121241142
116248a2a0
123472a846
131c16cb29
1412160138
15a99d47c
hex739fe36

121241142 has 96 divisors (see below), whose sum is σ = 303713280. Its totient is φ = 34594560.

The previous prime is 121241137. The next prime is 121241143. The reversal of 121241142 is 241142121.

121241142 is a `hidden beast` number, since 1 + 212 + 411 + 42 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121241143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359598 + ... + 359934.

It is an arithmetic number, because the mean of its divisors is an integer number (3163680).

Almost surely, 2121241142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121241142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151856640).

121241142 is an abundant number, since it is smaller than the sum of its proper divisors (182472138).

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

121241142 is a wasteful number, since it uses less digits than its factorization.

121241142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 455 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 121241142 is about 11010.9555443658. The cubic root of 121241142 is about 494.9370963838.

Adding to 121241142 its reverse (241142121), we get a palindrome (362383263).

The spelling of 121241142 in words is "one hundred twenty-one million, two hundred forty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 79 99 138 158 198 207 237 253 337 414 474 506 674 711 759 869 1011 1422 1518 1738 1817 2022 2277 2607 3033 3634 3707 4554 5214 5451 6066 7414 7751 7821 10902 11121 15502 15642 16353 19987 22242 23253 26623 32706 33363 39974 46506 53246 59961 66726 69759 79869 85261 119922 139518 159738 170522 179883 239607 255783 292853 359766 479214 511566 585706 612329 767349 878559 1224658 1534698 1757118 1836987 2635677 3673974 5271354 5510961 6735619 11021922 13471238 20206857 40413714 60620571 121241142