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121488032340 = 223254147934367
BaseRepresentation
bin111000100100101000…
…0000100001001010100
3102121120201011111010100
41301021100010021110
53442301414013330
6131451050054100
711530405144053
oct1611120041124
9377521144110
10121488032340
1147582910914
121b66611a330
13b5c157928c
145c46c1239a
153260939060
hex1c49404254

121488032340 has 144 divisors (see below), whose sum is σ = 378300948480. Its totient is φ = 31539740160.

The previous prime is 121488032261. The next prime is 121488032363. The reversal of 121488032340 is 43230884121.

It is a happy number.

121488032340 is a `hidden beast` number, since 1 + 214 + 8 + 80 + 323 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121488032295 and 121488032304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3517837 + ... + 3552203.

It is an arithmetic number, because the mean of its divisors is an integer number (2627089920).

Almost surely, 2121488032340 is an apocalyptic number.

121488032340 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 121488032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189150474240).

121488032340 is an abundant number, since it is smaller than the sum of its proper divisors (256812916140).

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

121488032340 is a wasteful number, since it uses less digits than its factorization.

121488032340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34902 (or 34897 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 121488032340 in words is "one hundred twenty-one billion, four hundred eighty-eight million, thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 479 492 615 738 820 958 1230 1437 1476 1845 1916 2395 2460 2874 3690 4311 4790 5748 7185 7380 8622 9580 14370 17244 19639 21555 28740 34367 39278 43110 58917 68734 78556 86220 98195 103101 117834 137468 171835 176751 196390 206202 235668 294585 309303 343670 353502 392780 412404 515505 589170 618606 687340 707004 883755 1031010 1178340 1237212 1409047 1546515 1767510 2062020 2818094 3093030 3535020 4227141 5636188 6186060 7045235 8454282 12681423 14090470 16461793 16908564 21135705 25362846 28180940 32923586 42271410 49385379 50725692 63407115 65847172 82308965 84542820 98770758 126814230 148156137 164617930 197541516 246926895 253628460 296312274 329235860 493853790 592624548 674933513 740780685 987707580 1349867026 1481561370 2024800539 2699734052 2963122740 3374667565 4049601078 6074401617 6749335130 8099202156 10124002695 12148803234 13498670260 20248005390 24297606468 30372008085 40496010780 60744016170 121488032340