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121401123030 = 233511131312029
BaseRepresentation
bin111000100010000010…
…0100010000011010110
3102121100122122000222000
41301010010202003112
53442112141414110
6131434303220130
711525301343125
oct1610404420326
9377318560860
10121401123030
1147538850640
121b640ba7646
13b5a956a055
145c3946babc
153257ebd1c0
hex1c441220d6

121401123030 has 128 divisors (see below), whose sum is σ = 355863974400. Its totient is φ = 29205820800.

The previous prime is 121401123007. The next prime is 121401123049. The reversal of 121401123030 is 30321104121.

121401123030 is a `hidden beast` number, since 1 + 2 + 1 + 401 + 1 + 230 + 30 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121401122994 and 121401123012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233056 + ... + 545084.

It is an arithmetic number, because the mean of its divisors is an integer number (2780187300).

Almost surely, 2121401123030 is an apocalyptic number.

121401123030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121401123030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177931987200).

121401123030 is an abundant number, since it is smaller than the sum of its proper divisors (234462851370).

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

121401123030 is a wasteful number, since it uses less digits than its factorization.

121401123030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312187 (or 312181 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121401123030 its reverse (30321104121), we get a palindrome (151722227151).

The spelling of 121401123030 in words is "one hundred twenty-one billion, four hundred one million, one hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 131 135 165 198 262 270 297 330 393 495 594 655 786 990 1179 1310 1441 1485 1965 2358 2882 2970 3537 3930 4323 5895 7074 7205 8646 11790 12969 14410 17685 21615 25938 35370 38907 43230 64845 77814 129690 194535 312029 389070 624058 936087 1560145 1872174 2808261 3120290 3432319 4680435 5616522 6864638 8424783 9360870 10296957 14041305 16849566 17161595 20593914 28082610 30890871 34323190 40875799 42123915 51484785 61781742 81751598 84247830 92672613 102969570 122627397 154454355 185345226 204378995 245254794 308908710 367882191 408757990 449633789 463363065 613136985 735764382 899267578 926726130 1103646573 1226273970 1348901367 1839410955 2207293146 2248168945 2697802734 3678821910 4046704101 4496337890 5518232865 6744506835 8093408202 11036465730 12140112303 13489013670 20233520505 24280224606 40467041010 60700561515 121401123030