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1101220222120 = 235531792901919
BaseRepresentation
bin10000000001100101110…
…101110001010010101000
310220021102221010110210121
4100001211311301102220
5121020244334101440
62201521003053024
7142363156305304
oct20014565612250
93807387113717
101101220222120
11395030119a27
12159510511174
137cac982ccb5
143b42957cd04
151d9a2b8334a
hex10065d714a8

1101220222120 has 64 divisors (see below), whose sum is σ = 2538599616000. Its totient is φ = 429762448128.

The previous prime is 1101220222097. The next prime is 1101220222127. The reversal of 1101220222120 is 212220221011.

It is a happy number.

It is a super-3 number, since 3×11012202221203 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101220222094 and 1101220222103.

It is not an unprimeable number, because it can be changed into a prime (1101220222127) 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, 1071480 + ... + 1830439.

It is an arithmetic number, because the mean of its divisors is an integer number (39665619000).

Almost surely, 21101220222120 is an apocalyptic number.

1101220222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101220222120 is an abundant number, since it is smaller than the sum of its proper divisors (1437379393880).

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

1101220222120 is a wasteful number, since it uses less digits than its factorization.

1101220222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902162 (or 2902158 counting only the distinct ones).

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

Adding to 1101220222120 its reverse (212220221011), we get a palindrome (1313440443131).

The spelling of 1101220222120 in words is "one trillion, one hundred one billion, two hundred twenty million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 179 212 265 358 424 530 716 895 1060 1432 1790 2120 3580 7160 9487 18974 37948 47435 75896 94870 189740 379480 2901919 5803838 11607676 14509595 23215352 29019190 58038380 116076760 153801707 307603414 519443501 615206828 769008535 1038887002 1230413656 1538017070 2077774004 2597217505 3076034140 4155548008 5194435010 6152068280 10388870020 20777740040 27530505553 55061011106 110122022212 137652527765 220244044424 275305055530 550610111060 1101220222120