Search a number
-
+
120020021211020 = 22572831475535053
BaseRepresentation
bin11011010010100001010110…
…101110101110111110001100
3120201221210122122012221020112
4123102201112232232332030
5111212402000412223040
61103132234144535152
734165106003522600
oct3322412656567614
9521853578187215
10120020021211020
11352732290703a7
12115648263214b8
1351c7abb31ccb8
14218d0000b7500
15dd1ee21b1365
hex6d2856baef8c

120020021211020 has 72 divisors (see below), whose sum is σ = 296724197219184. Its totient is φ = 40653941752704.

The previous prime is 120020021210987. The next prime is 120020021211023. The reversal of 120020021211020 is 20112120020021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120020021210986 and 120020021211004.

It is not an unprimeable number, because it can be changed into a prime (120020021211023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 737686187 + ... + 737848866.

It is an arithmetic number, because the mean of its divisors is an integer number (4121169405822).

Almost surely, 2120020021211020 is an apocalyptic number.

120020021211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020021211020 is an abundant number, since it is smaller than the sum of its proper divisors (176704176008164).

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

120020021211020 is a wasteful number, since it uses less digits than its factorization.

120020021211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475535159 (or 1475535150 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120020021211020 its reverse (20112120020021), we get a palindrome (140132141231041).

The spelling of 120020021211020 in words is "one hundred twenty trillion, twenty billion, twenty-one million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 83 98 140 166 196 245 332 415 490 581 830 980 1162 1660 2324 2905 4067 5810 8134 11620 16268 20335 40670 81340 1475535053 2951070106 5902140212 7377675265 10328745371 14755350530 20657490742 29510701060 41314981484 51643726855 72301217597 103287453710 122469409399 144602435194 206574907420 244938818798 289204870388 361506087985 489877637596 612347046995 723012175970 857285865793 1224694093990 1446024351940 1714571731586 2449388187980 3429143463172 4286429328965 6001001060551 8572858657930 12002002121102 17145717315860 24004004242204 30005005302755 60010010605510 120020021211020