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121240101420 = 22325107258831
BaseRepresentation
bin111000011101001111…
…0010010001000101100
3102120221102122021211200
41300322132102020230
53441244431221140
6131410312045500
711521304600304
oct1607236221054
9376842567750
10121240101420
1147465970729
121b5b7093890
13b5820ac5a9
145c21d14604
153248cb3030
hex1c3a79222c

121240101420 has 108 divisors (see below), whose sum is σ = 371237097504. Its totient is φ = 32027993280.

The previous prime is 121240101413. The next prime is 121240101421. The reversal of 121240101420 is 24101042121.

121240101420 is a `hidden beast` number, since 1 + 2 + 1 + 240 + 1 + 0 + 1 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121240101393 and 121240101402.

It is not an unprimeable number, because it can be changed into a prime (121240101421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2031405 + ... + 2090235.

Almost surely, 2121240101420 is an apocalyptic number.

121240101420 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 121240101420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185618548752).

121240101420 is an abundant number, since it is smaller than the sum of its proper divisors (249996996084).

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

121240101420 is a wasteful number, since it uses less digits than its factorization.

121240101420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59060 (or 58948 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121240101420 its reverse (24101042121), we get a palindrome (145341143541).

The spelling of 121240101420 in words is "one hundred twenty-one billion, two hundred forty million, one hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 6420 9630 11449 19260 22898 34347 45796 57245 58831 68694 103041 114490 117662 137388 171735 176493 206082 228980 235324 294155 343470 352986 412164 515205 529479 588310 686940 705972 882465 1030410 1058958 1176620 1764930 2060820 2117916 2647395 3529860 5294790 6294917 10589580 12589834 18884751 25179668 31474585 37769502 56654253 62949170 75539004 94423755 113308506 125898340 188847510 226617012 283271265 377695020 566542530 673556119 1133085060 1347112238 2020668357 2694224476 3367780595 4041336714 6062005071 6735561190 8082673428 10103341785 12124010142 13471122380 20206683570 24248020284 30310025355 40413367140 60620050710 121240101420