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121434040 = 23571373457
BaseRepresentation
bin1110011110011…
…10111110111000
322110111111012001
413033032332320
5222041342130
620014430344
73003113050
oct717167670
9273444161
10121434040
1162601212
12348023b4
131c209880
14121b0560
15a9da6ca
hex73cefb8

121434040 has 128 divisors (see below), whose sum is σ = 341631360. Its totient is φ = 37822464.

The previous prime is 121434031. The next prime is 121434091. The reversal of 121434040 is 40434121.

It is a junction number, because it is equal to n+sod(n) for n = 121433999 and 121434017.

It is a congruent 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, 265492 + ... + 265948.

It is an arithmetic number, because the mean of its divisors is an integer number (2668995).

Almost surely, 2121434040 is an apocalyptic number.

121434040 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 121434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170815680).

121434040 is an abundant number, since it is smaller than the sum of its proper divisors (220197320).

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

121434040 is a wasteful number, since it uses less digits than its factorization.

121434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 121434040 is about 11019.7114299786. The cubic root of 121434040 is about 495.1994434883.

Adding to 121434040 its reverse (40434121), we get a palindrome (161868161).

The spelling of 121434040 in words is "one hundred twenty-one million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 73 91 104 130 140 146 182 260 280 292 364 365 455 457 511 520 584 728 730 910 914 949 1022 1460 1820 1828 1898 2044 2285 2555 2920 3199 3640 3656 3796 4088 4570 4745 5110 5941 6398 6643 7592 9140 9490 10220 11882 12796 13286 15995 18280 18980 20440 23764 25592 26572 29705 31990 33215 33361 37960 41587 47528 53144 59410 63980 66430 66722 83174 118820 127960 132860 133444 166348 166805 207935 233527 237640 265720 266888 332696 333610 415870 433693 467054 667220 831740 867386 934108 1167635 1334440 1663480 1734772 1868216 2168465 2335270 3035851 3469544 4336930 4670540 6071702 8673860 9341080 12143404 15179255 17347720 24286808 30358510 60717020 121434040