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1221010112010 = 2351336720034259
BaseRepresentation
bin10001110001001001110…
…111111011111000001010
311022201122021221101102010
4101301021313323320022
5130001112042041020
62332531352120350
7154133524464633
oct21611167737012
94281567841363
101221010112010
11430911416227
121787819960b6
138b1aa330350
1443150a3088a
1521b64483de0
hex11c49dfbe0a

1221010112010 has 128 divisors (see below), whose sum is σ = 3166763765760. Its totient is φ = 299517394176.

The previous prime is 1221010111921. The next prime is 1221010112017. The reversal of 1221010112010 is 102110101221.

It is not an unprimeable number, because it can be changed into a prime (1221010112017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286687261 + ... + 286691519.

It is an arithmetic number, because the mean of its divisors is an integer number (24740341920).

Almost surely, 21221010112010 is an apocalyptic number.

1221010112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221010112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583381882880).

1221010112010 is an abundant number, since it is smaller than the sum of its proper divisors (1945753653750).

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

1221010112010 is a wasteful number, since it uses less digits than its factorization.

1221010112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6652.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1221010112010 its reverse (102110101221), we get a palindrome (1323120213231).

The spelling of 1221010112010 in words is "one trillion, two hundred twenty-one billion, ten million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 367 390 734 1101 1835 2003 2202 3670 4006 4259 4771 5505 6009 8518 9542 10015 11010 12018 12777 14313 20030 21295 23855 25554 26039 28626 30045 42590 47710 52078 55367 60090 63885 71565 78117 110734 127770 130195 143130 156234 166101 260390 276835 332202 390585 553670 735101 781170 830505 1470202 1563053 1661010 2205303 3126106 3675505 4410606 4689159 7351010 7815265 8530777 9378318 9556313 11026515 15630530 17061554 19112626 20319689 22053030 23445795 25592331 28668939 40639378 42653885 46891590 47781565 51184662 57337878 60959067 85307770 95563130 101598445 110900101 121918134 127961655 143344695 203196890 221800202 255923310 286689390 304795335 332700303 554500505 609590670 665400606 1109001010 1663501515 3130795159 3327003030 6261590318 9392385477 15653975795 18784770954 31307951590 40700337067 46961927385 81400674134 93923854770 122101011201 203501685335 244202022402 407003370670 610505056005 1221010112010