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1001000122212 = 223238234406819
BaseRepresentation
bin11101001000100000100…
…00011011011101100100
310112200202102022220020110
432210100100123131210
5112400022012402322
62043504134333020
7132214500436146
oct16442020333544
93480672286213
101001000122212
11356581522582
12142000aba170
137351754952c
143663d1c6c96
151b08946dc0c
hexe91041b764

1001000122212 has 48 divisors (see below), whose sum is σ = 2440179624960. Its totient is φ = 318771586848.

The previous prime is 1001000122211. The next prime is 1001000122237. The reversal of 1001000122212 is 2122210001001.

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 (1001000122211) 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, 1976262 + ... + 2430557.

It is an arithmetic number, because the mean of its divisors is an integer number (50837075520).

Almost surely, 21001000122212 is an apocalyptic number.

1001000122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001000122212 is an abundant number, since it is smaller than the sum of its proper divisors (1439179502748).

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

1001000122212 is a wasteful number, since it uses less digits than its factorization.

1001000122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407672 (or 4407670 counting only the distinct ones).

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

Adding to 1001000122212 its reverse (2122210001001), we get a palindrome (3123210123213).

The spelling of 1001000122212 in words is "one trillion, one billion, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 823 1646 2469 3292 4938 9876 18929 37858 56787 75716 113574 227148 4406819 8813638 13220457 17627276 26440914 52881828 101356837 202713674 304070511 405427348 608141022 1216282044 3626812037 7253624074 10880436111 14507248148 21760872222 43521744444 83416676851 166833353702 250250030553 333666707404 500500061106 1001000122212