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121202102002120 = 23541109367615481
BaseRepresentation
bin11011100011101110010000…
…001111000110000111001000
3120220010210210212202220202021
4123203232100033012013020
5111341233401103031440
61105435251010414224
734346364034463236
oct3343562017060710
9526123725686667
10121202102002120
1135689582936637
1211715942891374
1352824033538c9
1421d02da805956
15e02b28b5184a
hex6e3b903c61c8

121202102002120 has 64 divisors (see below), whose sum is σ = 279611655024240. Its totient is φ = 47255106662400.

The previous prime is 121202102002099. The next prime is 121202102002139. The reversal of 121202102002120 is 21200201202121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34333998068484 + 86868103933636 = 5859522^2 + 9320306^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121202102002094 and 121202102002103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32015221 + ... + 35600260.

Almost surely, 2121202102002120 is an apocalyptic number.

121202102002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121202102002120 is an abundant number, since it is smaller than the sum of its proper divisors (158409553022120).

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

121202102002120 is a wasteful number, since it uses less digits than its factorization.

121202102002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67616626 (or 67616622 counting only the distinct ones).

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

Adding to 121202102002120 its reverse (21200201202121), we get a palindrome (142402303204241).

The spelling of 121202102002120 in words is "one hundred twenty-one trillion, two hundred two billion, one hundred two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1093 1640 2186 4372 5465 8744 10930 21860 43720 44813 89626 179252 224065 358504 448130 896260 1792520 67615481 135230962 270461924 338077405 540923848 676154810 1352309620 2704619240 2772234721 5544469442 11088938884 13861173605 22177877768 27722347210 55444694420 73903720733 110889388840 147807441466 295614882932 369518603665 591229765864 739037207330 1478074414660 2956148829320 3030052550053 6060105100106 12120210200212 15150262750265 24240420400424 30300525500530 60601051001060 121202102002120