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121624332642420 = 223541132137426787
BaseRepresentation
bin11011101001110111011111…
…001001001010100001110100
3120221122011122212012211020020
4123221313133021022201310
5111420143113124024140
61110401240322405140
734422032225633526
oct3351673711124164
9527564585184206
10121624332642420
1135831654045033
121178373ab007b0
1352b318253877a
142206913225a16
15e0dadc0366d0
hex6e9ddf24a874

121624332642420 has 96 divisors (see below), whose sum is σ = 349118276121216. Its totient is φ = 31618148812800.

The previous prime is 121624332642413. The next prime is 121624332642451. The reversal of 121624332642420 is 24246233426121.

It is a super-2 number, since 2×1216243326424202 (a number of 29 digits) contains 22 as substring.

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, 15463734 + ... + 21963053.

It is an arithmetic number, because the mean of its divisors is an integer number (3636648709596).

Almost surely, 2121624332642420 is an apocalyptic number.

121624332642420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121624332642420 is an abundant number, since it is smaller than the sum of its proper divisors (227493943478796).

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

121624332642420 is a wasteful number, since it uses less digits than its factorization.

121624332642420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37428161 (or 37428159 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 121624332642420 in words is "one hundred twenty-one trillion, six hundred twenty-four billion, three hundred thirty-two million, six hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 1321 2460 2642 3963 5284 6605 7926 13210 15852 19815 26420 39630 54161 79260 108322 162483 216644 270805 324966 541610 649932 812415 1083220 1624830 3249660 37426787 74853574 112280361 149707148 187133935 224560722 374267870 449121444 561401805 748535740 1122803610 1534498267 2245607220 3068996534 4603494801 6137993068 7672491335 9206989602 15344982670 18413979204 23017474005 30689965340 46034948010 49440785627 92069896020 98881571254 148322356881 197763142508 247203928135 296644713762 494407856270 593289427524 741611784405 988815712540 1483223568810 2027072210707 2966447137620 4054144421414 6081216632121 8108288842828 10135361053535 12162433264242 20270722107070 24324866528484 30406083160605 40541444214140 60812166321210 121624332642420