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1220122102000 = 24531427427513
BaseRepresentation
bin10001110000010100111…
…100011100100011110000
311022122100101222210200111
4101300110330130203300
5124442302224231000
62332303311031104
7154102522514314
oct21602474344360
94278311883614
101220122102000
114304a613315a
1217857450b494
138b098374239
14430a8b15b44
1521b11524cba
hex11c14f1c8f0

1220122102000 has 80 divisors (see below), whose sum is σ = 2952329601312. Its totient is φ = 487705689600.

The previous prime is 1220122101997. The next prime is 1220122102009. The reversal of 1220122102000 is 2012210221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220122102009) 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, 2640244 + ... + 3067756.

Almost surely, 21220122102000 is an apocalyptic number.

1220122102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220122102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476164800656).

1220122102000 is an abundant number, since it is smaller than the sum of its proper divisors (1732207499312).

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

1220122102000 is a wasteful number, since it uses less digits than its factorization.

1220122102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428963 (or 428947 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1220122102000 its reverse (2012210221), we get a palindrome (1222134312221).

The spelling of 1220122102000 in words is "one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1427 2000 2854 5708 7135 11416 14270 22832 28540 35675 57080 71350 114160 142700 178375 285400 356750 427513 570800 713500 855026 1427000 1710052 2137565 2854000 3420104 4275130 6840208 8550260 10687825 17100520 21375650 34201040 42751300 53439125 85502600 106878250 171005200 213756500 427513000 610061051 855026000 1220122102 2440244204 3050305255 4880488408 6100610510 9760976816 12201221020 15251526275 24402442040 30503052550 48804884080 61006105100 76257631375 122012210200 152515262750 244024420400 305030525500 610061051000 1220122102000