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121001340024 = 2334599311737
BaseRepresentation
bin111000010110000111…
…1011110110001111000
3102120022210100221210000
41300230033132301320
53440302320340044
6131330502353000
711512345264035
oct1605417366170
9376283327700
10121001340024
1147353113764
121b54b12b760
13b5447a3466
145bdc32238c
153232d4dd69
hex1c2c3dec78

121001340024 has 80 divisors (see below), whose sum is σ = 339482682000. Its totient is φ = 40266315648.

The previous prime is 121001340017. The next prime is 121001340037. The reversal of 121001340024 is 420043100121.

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 = 121001339979 and 121001340006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 232284 + ... + 544020.

It is an arithmetic number, because the mean of its divisors is an integer number (4243533525).

Almost surely, 2121001340024 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 121001340024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169741341000).

121001340024 is an abundant number, since it is smaller than the sum of its proper divisors (218481341976).

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

121001340024 is a wasteful number, since it uses less digits than its factorization.

121001340024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312354 (or 312341 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 121001340024 its reverse (420043100121), we get a palindrome (541044440145).

The spelling of 121001340024 in words is "one hundred twenty-one billion, one million, three hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 599 648 1198 1797 2396 3594 4792 5391 7188 10782 14376 16173 21564 32346 43128 48519 64692 97038 129384 194076 311737 388152 623474 935211 1246948 1870422 2493896 2805633 3740844 5611266 7481688 8416899 11222532 16833798 22445064 25250697 33667596 50501394 67335192 101002788 186730463 202005576 373460926 560191389 746921852 1120382778 1493843704 1680574167 2240765556 3361148334 4481531112 5041722501 6722296668 10083445002 13444593336 15125167503 20166890004 30250335006 40333780008 60500670012 121001340024