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122011110201020 = 2251932163777699
BaseRepresentation
bin11011101111011111101100…
…111000011101011010111100
3121000000011000001102120112012
4123233133230320131122330
5111443012223202413040
61111255044044030352
734462004023634645
oct3357375470353274
9530004001376465
10122011110201020
1135970691981507
12118266a1b323b8
1353107a1691391
14221b5252b86cc
15e18bc7bde865
hex6ef7ece1d6bc

122011110201020 has 36 divisors (see below), whose sum is σ = 257557793686200. Its totient is φ = 48551571016704.

The previous prime is 122011110200971. The next prime is 122011110201049. The reversal of 122011110201020 is 20102011110221.

It is a super-2 number, since 2×1220111102010202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122011110200986 and 122011110201004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81143870 + ... + 82633829.

It is an arithmetic number, because the mean of its divisors is an integer number (7154383157950).

Almost surely, 2122011110201020 is an apocalyptic number.

122011110201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011110201020 is an abundant number, since it is smaller than the sum of its proper divisors (135546683485180).

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

122011110201020 is a wasteful number, since it uses less digits than its factorization.

122011110201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163778094 (or 163777899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122011110201020 its reverse (20102011110221), we get a palindrome (142113121311241).

The spelling of 122011110201020 in words is "one hundred twenty-two trillion, eleven billion, one hundred ten million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 37249 74498 148996 186245 372490 744980 163777699 327555398 655110796 818888495 1637776990 3275553980 31609095907 63218191814 126436383628 158045479535 316090959070 632181918140 6100555510051 12201111020102 24402222040204 30502777550255 61005555100510 122011110201020