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121023212024 = 2311131710161613
BaseRepresentation
bin111000010110110001…
…0111010100111111000
3102120101022112011112002
41300231202322213320
53440323420241044
6131333003240132
711513032220561
oct1605542724770
9376338464462
10121023212024
11473644a24a0
121b556519048
13b549190980
145c011b7168
153234c1e74e
hex1c2d8ba9f8

121023212024 has 128 divisors (see below), whose sum is σ = 285070726080. Its totient is φ = 47318016000.

The previous prime is 121023212021. The next prime is 121023212033. The reversal of 121023212024 is 420212320121.

121023212024 = T28112 + T28113 + ... + T28414.

It is a junction number, because it is equal to n+sod(n) for n = 121023211987 and 121023212005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121023212021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1933442 + ... + 1995054.

Almost surely, 2121023212024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121023212024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142535363040).

121023212024 is an abundant number, since it is smaller than the sum of its proper divisors (164047514056).

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

121023212024 is a wasteful number, since it uses less digits than its factorization.

121023212024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61761 (or 61757 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 121023212024 its reverse (420212320121), we get a palindrome (541235532145).

The spelling of 121023212024 in words is "one hundred twenty-one billion, twenty-three million, two hundred twelve thousand, twenty-four".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 101 104 136 143 187 202 221 286 374 404 442 572 748 808 884 1111 1144 1313 1496 1717 1768 2222 2431 2626 3434 4444 4862 5252 6868 8888 9724 10504 13736 14443 18887 19448 22321 28886 37774 44642 57772 61613 75548 89284 115544 123226 151096 178568 245531 246452 491062 492904 677743 800969 982124 1047421 1355486 1601938 1964248 2094842 2710972 3203876 4189684 5421944 6222913 6407752 8379368 8810659 11521631 12445826 13616473 17621318 23043262 24891652 27232946 35242636 46086524 49783304 54465892 68452043 70485272 80897869 92173048 105789521 108931784 136904086 149781203 161795738 211579042 273808172 299562406 323591476 423158084 547616344 599124812 647182952 846316168 889876559 1163684731 1198249624 1375263773 1779753118 2327369462 2750527546 3559506236 4654738924 5501055092 7119012472 9309477848 11002110184 15127901503 30255803006 60511606012 121023212024