Search a number
-
+
122011211210022 = 2329420771952197
BaseRepresentation
bin11011101111011111110010…
…111001110001110100100110
3121000000011021002111100211100
4123233133302321301310212
5111443012430032210042
61111255102053020530
734462006361331561
oct3357376271616446
9530004232440740
10122011211210022
11359707339a2022
121182670b924746
1353107b9599214
14221b53488d4d8
15e18bd19e324c
hex6ef7f2e71d26

122011211210022 has 24 divisors (see below), whose sum is σ = 264360434098176. Its totient is φ = 40669971458256.

The previous prime is 122011211210003. The next prime is 122011211210039. The reversal of 122011211210022 is 220012112110221.

122011211210022 is a `hidden beast` number, since 1 + 220 + 1 + 1 + 211 + 210 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122011211209977 and 122011211210004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34280373 + ... + 37671824.

It is an arithmetic number, because the mean of its divisors is an integer number (11015018087424).

Almost surely, 2122011211210022 is an apocalyptic number.

122011211210022 is an abundant number, since it is smaller than the sum of its proper divisors (142349222888154).

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

122011211210022 is a wasteful number, since it uses less digits than its factorization.

122011211210022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72046412 (or 72046409 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122011211210022 its reverse (220012112110221), we get a palindrome (342023323320243).

The spelling of 122011211210022 in words is "one hundred twenty-two trillion, eleven billion, two hundred eleven million, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 18 94207 188414 282621 565242 847863 1695726 71952197 143904394 215856591 431713182 647569773 1295139546 6778400622779 13556801245558 20335201868337 40670403736674 61005605605011 122011211210022