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122021122002 = 231323120156633
BaseRepresentation
bin111000110100100000…
…1101000111111010010
3102122221212021020122220
41301221001220333102
53444344401401002
6132020012041510
711546540265243
oct1615101507722
9378855236586
10122021122002
1147826818a8a
121b794763296
13b677b48750
145c9793ccca
15329263b7bc
hex1c69068fd2

122021122002 has 64 divisors (see below), whose sum is σ = 274474642176. Its totient is φ = 35882035200.

The previous prime is 122021122001. The next prime is 122021122019. The reversal of 122021122002 is 200221120221.

It is not an unprimeable number, because it can be changed into a prime (122021122001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2126278 + ... + 2182910.

It is an arithmetic number, because the mean of its divisors is an integer number (4288666284).

Almost surely, 2122021122002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122021122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137237321088).

122021122002 is an abundant number, since it is smaller than the sum of its proper divisors (152453520174).

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

122021122002 is a wasteful number, since it uses less digits than its factorization.

122021122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57875.

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

Adding to 122021122002 its reverse (200221120221), we get a palindrome (322242242223).

The spelling of 122021122002 in words is "one hundred twenty-two billion, twenty-one million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1201 1794 2402 3603 7206 15613 27623 31226 46839 55246 56633 82869 93678 113266 165738 169899 339798 359099 718198 736229 1077297 1302559 1472458 2154594 2208687 2605118 3907677 4417374 7815354 16933267 33866534 50799801 68016233 101599602 136032466 204048699 408097398 884211029 1564373359 1768422058 2652633087 3128746718 4693120077 5305266174 9386240154 20336853667 40673707334 61010561001 122021122002