Search a number
-
+
120012002210982 = 23748539766349
BaseRepresentation
bin11011010010011001111000…
…110000101011010010100110
3120201221000221210001112012010
4123102121320300223102212
5111212234040031222412
61103124430325535050
734164403202250000
oct3322317060532246
9521830853045163
10120012002210982
113526a8935a5a42
1211563168874486
1351c7110b8696b
14218c87d0a5370
15dd1bc31b133c
hex6d2678c2b4a6

120012002210982 has 80 divisors (see below), whose sum is σ = 280339638994800. Its totient is φ = 34248941689536.

The previous prime is 120012002210879. The next prime is 120012002211001. The reversal of 120012002210982 is 289012200210021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7405144 + ... + 17171492.

It is an arithmetic number, because the mean of its divisors is an integer number (3504245487435).

Almost surely, 2120012002210982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120012002210982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140169819497400).

120012002210982 is an abundant number, since it is smaller than the sum of its proper divisors (160327636783818).

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

120012002210982 is an frugal number, since it uses more digits than its factorization.

120012002210982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9767235 (or 9767214 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 120012002210982 in words is "one hundred twenty trillion, twelve billion, two million, two hundred ten thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 853 1029 1706 2058 2401 2559 4802 5118 5971 7203 11942 14406 17913 35826 41797 83594 125391 250782 292579 585158 877737 1755474 2048053 4096106 6144159 9766349 12288318 19532698 29299047 58598094 68364443 136728886 205093329 410186658 478551101 957102202 1435653303 2871306606 3349857707 6699715414 8330695697 10049573121 16661391394 20099146242 23449003949 24992087091 46898007898 49984174182 58314869879 70347011847 116629739758 140694023694 174944609637 349889219274 408204089153 816408178306 1224612267459 2449224534918 2857428624071 5714857248142 8572285872213 17144571744426 20002000368497 40004000736994 60006001105491 120012002210982