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12100000001210 = 25112101354127961
BaseRepresentation
bin1011000000010100000000…
…1100111010110010111010
31120211202012210201111200222
42300011000030322302322
53041221300000014320
641422355133100042
72356124165004362
oct260050014726272
946752183644628
1012100000001210
113945643610900
121435089627622
1369a0431cca34
142db900a3d9a2
1515eb3715a825
hexb014033acba

12100000001210 has 96 divisors (see below), whose sum is σ = 24184722359952. Its totient is φ = 4355049600000.

The previous prime is 12100000001203. The next prime is 12100000001273. The reversal of 12100000001210 is 1210000000121.

It can be written as a sum of positive squares in 8 ways, for example, as 6541425179641 + 5558574821569 = 2557621^2 + 2357663^2 .

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, 432731630 + ... + 432759590.

Almost surely, 212100000001210 is an apocalyptic number.

12100000001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12100000001210 is a deficient number, since it is larger than the sum of its proper divisors (12084722358742).

12100000001210 is a wasteful number, since it uses less digits than its factorization.

12100000001210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31632 (or 31621 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12100000001210 its reverse (1210000000121), we get a palindrome (13310000001331).

It can be divided in two parts, 1210000000 and 1210, that multiplied together give a 4-th power (1464100000000 = 11004).

The spelling of 12100000001210 in words is "twelve trillion, one hundred billion, one thousand, two hundred ten".

Divisors: 1 2 5 10 11 22 55 101 110 121 202 242 505 605 1010 1111 1210 2222 3541 5555 7082 11110 12221 17705 24442 27961 35410 38951 55922 61105 77902 122210 139805 194755 279610 307571 357641 389510 428461 615142 715282 856922 1537855 1788205 2142305 2824061 3075710 3383281 3576410 3934051 4284610 5648122 6766562 7868102 14120305 16916405 19670255 28240610 31064671 33832810 39340510 43274561 62129342 86549122 99009901 155323355 198019802 216372805 310646710 341711381 432745610 495049505 683422762 990099010 1089108911 1708556905 2178217822 3417113810 5445544555 10000000001 10891089110 11980198021 20000000002 23960396042 50000000005 59900990105 100000000010 110000000011 119801980210 220000000022 550000000055 1100000000110 1210000000121 2420000000242 6050000000605 12100000001210