Search a number
-
+
122022211020 = 22359072242231
BaseRepresentation
bin111000110100100010…
…1110010110111001100
3102122221221022120111220
41301221011302313030
53444400141223040
6132020051243340
711546552452233
oct1615105626714
9378857276456
10122022211020
11478273a21a6
121b794ba9550
13b67813a338
145c97b43b1a
1532927a42d0
hex1c69172dcc

122022211020 has 48 divisors (see below), whose sum is σ = 342039038208. Its totient is φ = 32503366080.

The previous prime is 122022211019. The next prime is 122022211037. The reversal of 122022211020 is 20112220221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066696 + ... + 1175535.

It is an arithmetic number, because the mean of its divisors is an integer number (7125813296).

Almost surely, 2122022211020 is an apocalyptic number.

122022211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122022211020 is an abundant number, since it is smaller than the sum of its proper divisors (220016827188).

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

122022211020 is a wasteful number, since it uses less digits than its factorization.

122022211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243150 (or 2243148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122022211020 its reverse (20112220221), we get a palindrome (142134431241).

It can be divided in two parts, 12202 and 2211020, that added together give a palindrome (2223222).

The spelling of 122022211020 in words is "one hundred twenty-two billion, twenty-two million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 907 1814 2721 3628 4535 5442 9070 10884 13605 18140 27210 54420 2242231 4484462 6726693 8968924 11211155 13453386 22422310 26906772 33633465 44844620 67266930 134533860 2033703517 4067407034 6101110551 8134814068 10168517585 12202221102 20337035170 24404442204 30505552755 40674070340 61011105510 122022211020