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122010101004 = 223111795163793
BaseRepresentation
bin111000110100001011…
…1100110010100001100
3102122221002112022200210
41301220113212110030
53444334041213004
6132014535522420
711546344514121
oct1615027462414
9378832468623
10122010101004
1147820580820
121b790b29410
13b67578a24c
145c962b0748
1532916b1089
hex1c685e650c

122010101004 has 48 divisors (see below), whose sum is σ = 312306261120. Its totient is φ = 36766199040.

The previous prime is 122010100963. The next prime is 122010101009. The reversal of 122010101004 is 400101010221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (122010101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2558269 + ... + 2605524.

It is an arithmetic number, because the mean of its divisors is an integer number (6506380440).

Almost surely, 2122010101004 is an apocalyptic number.

It is an amenable number.

122010101004 is an abundant number, since it is smaller than the sum of its proper divisors (190296160116).

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

122010101004 is a wasteful number, since it uses less digits than its factorization.

122010101004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163990 (or 5163988 counting only the distinct ones).

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

Adding to 122010101004 its reverse (400101010221), we get a palindrome (522111111225).

The spelling of 122010101004 in words is "one hundred twenty-two billion, ten million, one hundred one thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 179 358 537 716 1074 1969 2148 3938 5907 7876 11814 23628 5163793 10327586 15491379 20655172 30982758 56801723 61965516 113603446 170405169 227206892 340810338 681620676 924318947 1848637894 2772956841 3697275788 5545913682 10167508417 11091827364 20335016834 30502525251 40670033668 61005050502 122010101004