Search a number
-
+
122011212010002 = 23721492785262567
BaseRepresentation
bin11011101111011111110010…
…111100110101001000010010
3121000000011021011000000012020
4123233133302330311020102
5111443012430233310002
61111255102122112310
734462006401203100
oct3357376274651022
9530004234000166
10122011212010002
1135970734399067
121182671004b696
1353107b97b9393
14221b534a1ac70
15e18bd1b002bc
hex6ef7f2f35212

122011212010002 has 48 divisors (see below), whose sum is σ = 285767939476800. Its totient is φ = 34626384220512.

The previous prime is 122011212009997. The next prime is 122011212010057. The reversal of 122011212010002 is 200010212110221.

It is a super-2 number, since 2×1220112120100022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1392587478 + ... + 1392675089.

It is an arithmetic number, because the mean of its divisors is an integer number (5953498739100).

Almost surely, 2122011212010002 is an apocalyptic number.

122011212010002 is an abundant number, since it is smaller than the sum of its proper divisors (163756727466798).

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

122011212010002 is a wasteful number, since it uses less digits than its factorization.

122011212010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785262735 (or 2785262728 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122011212010002 its reverse (200010212110221), we get a palindrome (322021424120223).

The spelling of 122011212010002 in words is "one hundred twenty-two trillion, eleven billion, two hundred twelve million, ten thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 149 294 298 447 894 1043 2086 3129 6258 7301 14602 21903 43806 2785262567 5570525134 8355787701 16711575402 19496837969 38993675938 58490513907 116981027814 136477865783 272955731566 409433597349 415004122483 818867194698 830008244966 1245012367449 2490024734898 2905028857381 5810057714762 8715086572143 17430173144286 20335202001667 40670404003334 61005606005001 122011212010002