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121123669824 = 2632210284149
BaseRepresentation
bin111000011001110001…
…0001000011101000000
3102120122022112221201100
41300303202020131000
53441030124413244
6131350552334400
711515362130503
oct1606342103500
9376568487640
10121123669824
1147406176973
121b5840a4400
13b563c34961
145c1068713a
15323d964b69
hex1c33888740

121123669824 has 42 divisors (see below), whose sum is σ = 347179131650. Its totient is φ = 40374556416.

The previous prime is 121123669811. The next prime is 121123669841. The reversal of 121123669824 is 428966321121.

It can be written as a sum of positive squares in only one way, i.e., 119555509824 + 1568160000 = 345768^2 + 39600^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121123669824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105141499 + ... + 105142650.

Almost surely, 2121123669824 is an apocalyptic number.

It is an amenable number.

121123669824 is an abundant number, since it is smaller than the sum of its proper divisors (226055461826).

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

121123669824 is a wasteful number, since it uses less digits than its factorization.

121123669824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210284167 (or 210284154 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 121123669824 in words is "one hundred twenty-one billion, one hundred twenty-three million, six hundred sixty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 210284149 420568298 630852447 841136596 1261704894 1682273192 1892557341 2523409788 3364546384 3785114682 5046819576 6729092768 7570229364 10093639152 13458185536 15140458728 20187278304 30280917456 40374556608 60561834912 121123669824