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121002122202200 = 23522848812123731
BaseRepresentation
bin11011100000110100000000…
…100000101100110001011000
3120212102200121221111111112222
4123200310000200230301120
5111324444321240432300
61105203335121323212
734326054250310501
oct3340640040546130
9525380557444488
10121002122202200
1135611791512018
12116a3031a96508
1352695b3287c55
1421c47692a1ba8
15dec82236c785
hex6e0d0082cc58

121002122202200 has 48 divisors (see below), whose sum is σ = 281331054125160. Its totient is φ = 48400656192000.

The previous prime is 121002122202161. The next prime is 121002122202209. The reversal of 121002122202200 is 2202221200121.

It is a happy number.

It is a super-2 number, since 2×1210021222022002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002122202209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55914335 + ... + 58038065.

Almost surely, 2121002122202200 is an apocalyptic number.

121002122202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121002122202200 is an abundant number, since it is smaller than the sum of its proper divisors (160328931922960).

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

121002122202200 is a wasteful number, since it uses less digits than its factorization.

121002122202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408628 (or 2408619 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 121002122202200 its reverse (2202221200121), we get a palindrome (123204343402321).

The spelling of 121002122202200 in words is "one hundred twenty-one trillion, two billion, one hundred twenty-two million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 284881 569762 1139524 1424405 2123731 2279048 2848810 4247462 5697620 7122025 8494924 10618655 11395240 14244050 16989848 21237310 28488100 42474620 53093275 56976200 84949240 106186550 212373100 424746200 605010611011 1210021222022 2420042444044 3025053055055 4840084888088 6050106110110 12100212220220 15125265275275 24200424440440 30250530550550 60501061101100 121002122202200