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1220002102120 = 2353115121373049
BaseRepresentation
bin10001110000001101110…
…010101011101101101000
311022122001001012011210111
4101300031302223231220
5124442031014231440
62332243343024104
7154066534523404
oct21601562535550
94278031164714
101220002102120
114304444214aa
1217854029b034
138b07954a3a9
1443096bda104
1521b05c1e4ea
hex11c0dcabb68

1220002102120 has 128 divisors (see below), whose sum is σ = 2854589184000. Its totient is φ = 468758016000.

The previous prime is 1220002102097. The next prime is 1220002102127. The reversal of 1220002102120 is 212012000221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1220002102120.

It is not an unprimeable number, because it can be changed into a prime (1220002102127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400130356 + ... + 400133404.

It is an arithmetic number, because the mean of its divisors is an integer number (22301478000).

Almost surely, 21220002102120 is an apocalyptic number.

1220002102120 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 1220002102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427294592000).

1220002102120 is an abundant number, since it is smaller than the sum of its proper divisors (1634587081880).

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

1220002102120 is a wasteful number, since it uses less digits than its factorization.

1220002102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5379 (or 5375 counting only the distinct ones).

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

Adding to 1220002102120 its reverse (212012000221), we get a palindrome (1432014102341).

The spelling of 1220002102120 in words is "one trillion, two hundred twenty billion, two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 151 155 248 302 310 604 620 755 1208 1240 1510 2137 3020 3049 4274 4681 6040 6098 8548 9362 10685 12196 15245 17096 18724 21370 23405 24392 30490 37448 42740 46810 60980 66247 85480 93620 94519 121960 132494 187240 189038 264988 322687 331235 378076 460399 472595 529976 645374 662470 756152 920798 945190 1290748 1324940 1613435 1841596 1890380 2301995 2581496 2649880 3226870 3683192 3780760 4603990 6453740 6515713 9207980 10003297 12907480 13031426 14272369 18415960 20006594 26062852 28544738 32578565 40013188 50016485 52125704 57089476 65157130 71361845 80026376 100032970 114178952 130314260 142723690 200065940 201987103 260628520 285447380 400131880 403974206 570894760 807948412 983872663 1009935515 1615896824 1967745326 2019871030 3935490652 4039742060 4919363315 7870981304 8079484120 9838726630 19677453260 30500052553 39354906520 61000105106 122000210212 152500262765 244000420424 305000525530 610001051060 1220002102120