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1002212122120 = 235116137340243
BaseRepresentation
bin11101001010110000111…
…11110101111000001000
310112210212212220212112221
432211120133311320020
5112410012300401440
62044224311543424
7132256515323446
oct16453037657010
93483785825487
101002212122120
11357043684aa0
1214229a98ab74
137367b682941
143671615bb96
151b10aa79d4a
hexe9587f5e08

1002212122120 has 64 divisors (see below), whose sum is σ = 2500302738240. Its totient is φ = 358466323200.

The previous prime is 1002212122111. The next prime is 1002212122127. The reversal of 1002212122120 is 212212122001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1002212122094 and 1002212122103.

It is not an unprimeable number, because it can be changed into a prime (1002212122127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18643282 + ... + 18696961.

It is an arithmetic number, because the mean of its divisors is an integer number (39067230285).

Almost surely, 21002212122120 is an apocalyptic number.

1002212122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002212122120 is an abundant number, since it is smaller than the sum of its proper divisors (1498090616120).

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

1002212122120 is a wasteful number, since it uses less digits than its factorization.

1002212122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37340326 (or 37340322 counting only the distinct ones).

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

Adding to 1002212122120 its reverse (212212122001), we get a palindrome (1214424244121).

The spelling of 1002212122120 in words is "one trillion, two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 440 488 610 671 1220 1342 2440 2684 3355 5368 6710 13420 26840 37340243 74680486 149360972 186701215 298721944 373402430 410742673 746804860 821485346 1493609720 1642970692 2053713365 2277754823 3285941384 4107426730 4555509646 8214853460 9111019292 11388774115 16429706920 18222038584 22777548230 25055303053 45555096460 50110606106 91110192920 100221212212 125276515265 200442424424 250553030530 501106061060 1002212122120