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122010002121100 = 225217711010853373
BaseRepresentation
bin11011101111011110101010…
…110101011110000110001100
3121000000001010211101021122011
4123233132222311132012030
5111443002441020333400
61111254342102031004
734461634410260152
oct3357365265360614
9530001124337564
10122010002121100
1135970173448685
1211826432a18464
135310655c41aa2
14221b45c0753d2
15e18b607ae8ba
hex6ef7aad5e18c

122010002121100 has 72 divisors (see below), whose sum is σ = 284284316076768. Its totient is φ = 45286231065600.

The previous prime is 122010002121097. The next prime is 122010002121103. The reversal of 122010002121100 is 1121200010221.

It is an interprime number because it is at equal distance from previous prime (122010002121097) and next prime (122010002121103).

It is not an unprimeable number, because it can be changed into a prime (122010002121103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505305987 + ... + 505547386.

It is an arithmetic number, because the mean of its divisors is an integer number (3948393278844).

Almost surely, 2122010002121100 is an apocalyptic number.

122010002121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010002121100 is an abundant number, since it is smaller than the sum of its proper divisors (162274313955668).

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

122010002121100 is a wasteful number, since it uses less digits than its factorization.

122010002121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010853475 (or 1010853468 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122010002121100 its reverse (1121200010221), we get a palindrome (123131202131321).

The spelling of 122010002121100 in words is "one hundred twenty-two trillion, ten billion, two million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 71 85 100 142 170 284 340 355 425 710 850 1207 1420 1700 1775 2414 3550 4828 6035 7100 12070 24140 30175 60350 120700 1010853373 2021706746 4043413492 5054266865 10108533730 17184507341 20217067460 25271334325 34369014682 50542668650 68738029364 71770589483 85922536705 101085337300 143541178966 171845073410 287082357932 343690146820 358852947415 429612683525 717705894830 859225367050 1220100021211 1435411789660 1718450734100 1794264737075 2440200042422 3588529474150 4880400084844 6100500106055 7177058948300 12201000212110 24402000424220 30502500530275 61005001060550 122010002121100