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1212120100100 = 2252721319028573
BaseRepresentation
bin10001101000110111111…
…111001110110100000100
311021212200201210222200202
4101220313333032310010
5124324410221200400
62324501300230032
7153400315565600
oct21506777166404
94255621728622
101212120100100
1142806a218748
12176b0069b318
138a3c15acb80
144294a08a500
15217e3c814d5
hex11a37fced04

1212120100100 has 108 divisors (see below), whose sum is σ = 3295102045284. Its totient is φ = 383616011520.

The previous prime is 1212120100057. The next prime is 1212120100123. The reversal of 1212120100100 is 10010212121.

It can be written as a sum of positive squares in 6 ways, for example, as 477845917696 + 734274182404 = 691264^2 + 856898^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9450587 + ... + 9577986.

It is an arithmetic number, because the mean of its divisors is an integer number (30510204123).

Almost surely, 21212120100100 is an apocalyptic number.

1212120100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1212120100100 is an abundant number, since it is smaller than the sum of its proper divisors (2082981945184).

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

1212120100100 is a wasteful number, since it uses less digits than its factorization.

1212120100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19028614 (or 19028600 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1212120100100 its reverse (10010212121), we get a palindrome (1222130312221).

The spelling of 1212120100100 in words is "one trillion, two hundred twelve billion, one hundred twenty million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 175 182 196 245 260 325 350 364 455 490 637 650 700 910 980 1225 1274 1300 1820 2275 2450 2548 3185 4550 4900 6370 9100 12740 15925 31850 63700 19028573 38057146 76114292 95142865 133200011 190285730 247371449 266400022 380571460 475714325 494742898 532800044 666000055 932400077 951428650 989485796 1236857245 1332000110 1731600143 1864800154 1902857300 2473714490 2664000220 3330000275 3463200286 3729600308 4662000385 4947428980 6184286225 6660000550 6926400572 8658000715 9324000770 12121201001 12368572450 13320001100 17316001430 18648001540 23310001925 24242402002 24737144900 34632002860 43290003575 46620003850 48484804004 60606005005 86580007150 93240007700 121212010010 173160014300 242424020020 303030025025 606060050050 1212120100100