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121148712 = 23321925979
BaseRepresentation
bin1110011100010…
…01010100101000
322102221222210100
413032021110220
5222003224322
620004345400
73000514146
oct716112450
9272858710
10121148712
1162426903
12346a5260
131c139a39
1412138596
15a980dac
hex7389528

121148712 has 144 divisors (see below), whose sum is σ = 356616000. Its totient is φ = 37132992.

The previous prime is 121148711. The next prime is 121148737. The reversal of 121148712 is 217841121.

It is not an unprimeable number, because it can be changed into a prime (121148711) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1533489 + ... + 1533567.

It is an arithmetic number, because the mean of its divisors is an integer number (2476500).

Almost surely, 2121148712 is an apocalyptic number.

121148712 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 121148712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178308000).

121148712 is an abundant number, since it is smaller than the sum of its proper divisors (235467288).

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

121148712 is a wasteful number, since it uses less digits than its factorization.

121148712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 121148712 is about 11006.7575606988. The cubic root of 121148712 is about 494.8112901728.

Adding to 121148712 its reverse (217841121), we get a palindrome (338989833).

The spelling of 121148712 in words is "one hundred twenty-one million, one hundred forty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 59 72 76 79 114 118 152 158 171 177 228 236 237 316 342 354 361 456 472 474 531 632 684 708 711 722 948 1062 1083 1121 1368 1416 1422 1444 1501 1896 2124 2166 2242 2844 2888 3002 3249 3363 4248 4332 4484 4503 4661 5688 6004 6498 6726 8664 8968 9006 9322 10089 12008 12996 13452 13509 13983 18012 18644 20178 21299 25992 26904 27018 27966 28519 36024 37288 40356 41949 42598 54036 55932 57038 63897 80712 83898 85196 85557 88559 108072 111864 114076 127794 167796 170392 171114 177118 191691 228152 255588 256671 265677 335592 342228 354236 383382 511176 513342 531354 684456 708472 766764 797031 1026684 1062708 1533528 1594062 1682621 2053368 2125416 3188124 3365242 5047863 6376248 6730484 10095726 13460968 15143589 20191452 30287178 40382904 60574356 121148712