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122010121201020 = 223513156423232309
BaseRepresentation
bin11011101111011110110001…
…111011101110010101111100
3121000000001110010110011120120
4123233132301323232111330
5111443003212011413040
61111254401554214540
734461640354400013
oct3357366173562574
9530001403404516
10122010121201020
1135970224691138
1211826466884450
135310674805c90
14221b46dbd1a7a
15e18b6ae827d0
hex6ef7b1eee57c

122010121201020 has 48 divisors (see below), whose sum is σ = 367907442393120. Its totient is φ = 30033260603136.

The previous prime is 122010121200971. The next prime is 122010121201037. The reversal of 122010121201020 is 20102121010221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78211615375 + ... + 78211616934.

It is an arithmetic number, because the mean of its divisors is an integer number (7664738383190).

Almost surely, 2122010121201020 is an apocalyptic number.

122010121201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010121201020 is an abundant number, since it is smaller than the sum of its proper divisors (245897321192100).

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

122010121201020 is a wasteful number, since it uses less digits than its factorization.

122010121201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156423232334 (or 156423232332 counting only the distinct ones).

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

Adding to 122010121201020 its reverse (20102121010221), we get a palindrome (142112242211241).

The spelling of 122010121201020 in words is "one hundred twenty-two trillion, ten billion, one hundred twenty-one million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 156423232309 312846464618 469269696927 625692929236 782116161545 938539393854 1564232323090 1877078787708 2033502020017 2346348484635 3128464646180 4067004040034 4692696969270 6100506060051 8134008080068 9385393938540 10167510100085 12201012120102 20335020200170 24402024240204 30502530300255 40670040400340 61005060600510 122010121201020