Search a number
-
+
121002002000 = 24531113939569
BaseRepresentation
bin111000010110001001…
…0000000011001010000
3102120022211121120211122
41300230102000121100
53440303003031000
6131330524501412
711512354022015
oct1605422003120
9376284546748
10121002002000
1147353526050
121b54b3aa868
13b544975869
145bdc45570c
153232e30085
hex1c2c480650

121002002000 has 160 divisors (see below), whose sum is σ = 321485673600. Its totient is φ = 43683072000.

The previous prime is 121002001937. The next prime is 121002002027. The reversal of 121002002000 is 200200121.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 3038216 + ... + 3077784.

It is an arithmetic number, because the mean of its divisors is an integer number (2009285460).

Almost surely, 2121002002000 is an apocalyptic number.

121002002000 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 121002002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160742836800).

121002002000 is an abundant number, since it is smaller than the sum of its proper divisors (200483671600).

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

121002002000 is a wasteful number, since it uses less digits than its factorization.

121002002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39742 (or 39726 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 121002002000 its reverse (200200121), we get a palindrome (121202202121).

The spelling of 121002002000 in words is "one hundred twenty-one billion, two million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 139 176 200 220 250 275 278 400 440 500 550 556 695 880 1000 1100 1112 1375 1390 1529 2000 2200 2224 2750 2780 3058 3475 4400 5500 5560 6116 6950 7645 11000 11120 12232 13900 15290 17375 22000 24464 27800 30580 34750 38225 39569 55600 61160 69500 76450 79138 122320 139000 152900 158276 191125 197845 278000 305800 316552 382250 395690 435259 611600 633104 764500 791380 870518 989225 1529000 1582760 1741036 1978450 2176295 3058000 3165520 3482072 3956900 4352590 4946125 5500091 6964144 7913800 8705180 9892250 10881475 11000182 15827600 17410360 19784500 21762950 22000364 27500455 34820720 39569000 43525900 44000728 54407375 55000910 60501001 79138000 87051800 88001456 108814750 110001820 121002002 137502275 174103600 217629500 220003640 242004004 275004550 302505005 435259000 440007280 484008008 550009100 605010010 687511375 870518000 968016016 1100018200 1210020020 1375022750 1512525025 2200036400 2420040040 2750045500 3025050050 4840080080 5500091000 6050100100 7562625125 11000182000 12100200200 15125250250 24200400400 30250500500 60501001000 121002002000