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1002122121220 = 225114796917033
BaseRepresentation
bin11101001010100110010…
…00100001000000000100
310112210122121120100112021
432211103020201000010
5112404321230334340
62044211334532524
7132254343325243
oct16452310410004
93483577510467
101002122121220
11356aa78a2a90
12142274807144
1373665b3047c
143670821095a
151b102bece4a
hexe953221004

1002122121220 has 48 divisors (see below), whose sum is σ = 2344616886528. Its totient is φ = 356654677760.

The previous prime is 1002122121211. The next prime is 1002122121283. The reversal of 1002122121220 is 221212212001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1002122121194 and 1002122121203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48448177 + ... + 48468856.

It is an arithmetic number, because the mean of its divisors is an integer number (48846185136).

Almost surely, 21002122121220 is an apocalyptic number.

1002122121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002122121220 is an abundant number, since it is smaller than the sum of its proper divisors (1342494765308).

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

1002122121220 is a wasteful number, since it uses less digits than its factorization.

1002122121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96917100 (or 96917098 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1002122121220 its reverse (221212212001), we get a palindrome (1223334333221).

The spelling of 1002122121220 in words is "one trillion, two billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 96917033 193834066 387668132 484585165 969170330 1066087363 1938340660 2132174726 4264349452 4555100551 5330436815 9110201102 10660873630 18220402204 21321747260 22775502755 45551005510 50106106061 91102011020 100212212122 200424424244 250530530305 501061060610 1002122121220