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122011200102 = 231113914339281
BaseRepresentation
bin111000110100001101…
…1110010101001100110
3102122221011121011101010
41301220123302221212
53444334331400402
6132015015243050
711546360042361
oct1615033625146
9378834534333
10122011200102
1147821161570
121b791379486
13b675a835bc
145c964b90d8
15329182ba6c
hex1c686f2a66

122011200102 has 64 divisors (see below), whose sum is σ = 268337422080. Its totient is φ = 36677529600.

The previous prime is 122011200061. The next prime is 122011200151. The reversal of 122011200102 is 201002110221.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 13141702 + ... + 13150982.

It is an arithmetic number, because the mean of its divisors is an integer number (4192772220).

Almost surely, 2122011200102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122011200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134168711040).

122011200102 is an abundant number, since it is smaller than the sum of its proper divisors (146326221978).

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

122011200102 is a wasteful number, since it uses less digits than its factorization.

122011200102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10869.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122011200102 its reverse (201002110221), we get a palindrome (323013310323).

The spelling of 122011200102 in words is "one hundred twenty-two billion, eleven million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 139 278 417 834 1433 1529 2866 3058 4299 4587 8598 9174 9281 15763 18562 27843 31526 47289 55686 94578 102091 199187 204182 306273 398374 597561 612546 1195122 1290059 2191057 2580118 3870177 4382114 6573171 7740354 13146342 13299673 14190649 26599346 28381298 39899019 42571947 79798038 85143894 146296403 292592806 438889209 877778418 1848654547 3697309094 5545963641 11091927282 20335200017 40670400034 61005600051 122011200102