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1212121120100 = 2252111679117243
BaseRepresentation
bin10001101000111000000…
…011000111110101100100
311021212200210201210212112
4101220320003013311210
5124324411001320400
62324501334140152
7153400330344422
oct21507003076544
94255623653775
101212121120100
1142806a855020
12176b00ab1658
138a3c1879217
144294a274112
15217e3dd3835
hex11a380c7d64

1212121120100 has 144 divisors (see below), whose sum is σ = 2890171017216. Its totient is φ = 437590608000.

The previous prime is 1212121120097. The next prime is 1212121120153. The reversal of 1212121120100 is 10211212121.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167347079 + ... + 167354321.

It is an arithmetic number, because the mean of its divisors is an integer number (20070632064).

Almost surely, 21212121120100 is an apocalyptic number.

1212121120100 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 1212121120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445085508608).

1212121120100 is an abundant number, since it is smaller than the sum of its proper divisors (1678049897116).

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

1212121120100 is a wasteful number, since it uses less digits than its factorization.

1212121120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8346 (or 8339 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1212121120100 its reverse (10211212121), we get a palindrome (1222332332221).

The spelling of 1212121120100 in words is "one trillion, two hundred twelve billion, one hundred twenty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 167 220 275 334 550 668 835 911 1100 1670 1822 1837 3340 3644 3674 4175 4555 7243 7348 8350 9110 9185 10021 14486 16700 18220 18370 20042 22775 28972 36215 36740 40084 45550 45925 50105 72430 79673 91100 91850 100210 144860 152137 159346 181075 183700 200420 250525 304274 318692 362150 398365 501050 608548 724300 760685 796730 1002100 1209581 1521370 1593460 1673507 1991825 2419162 3042740 3347014 3803425 3983650 4838324 6047905 6598373 6694028 7606850 7967300 8367535 12095810 13196746 13305391 15213700 16735070 24191620 26393492 26610782 30239525 32991865 33470140 41837675 53221564 60479050 65983730 66526955 72582103 83675350 120958100 131967460 133053910 145164206 164959325 167350700 266107820 290328412 329918650 332634775 362910515 659837300 665269550 725821030 1101928291 1330539100 1451642060 1814552575 2203856582 3629105150 4407713164 5509641455 7258210300 11019282910 12121211201 22038565820 24242422402 27548207275 48484844804 55096414550 60606056005 110192829100 121212112010 242424224020 303030280025 606060560050 1212121120100