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121010220122200 = 235219271911711951
BaseRepresentation
bin11011100000111011100011…
…001011110100000001011000
3120212110110112022011110102221
4123200323203023310001120
5111330112412322402300
61105211154440033424
734326462030430633
oct3340734313640130
9525413468143387
10121010220122200
1135615167590192
12116a4711a62874
13526a2a3b93ba6
1421c4cd6978c1a
15decb4825b31a
hex6e0ee32f4058

121010220122200 has 96 divisors (see below), whose sum is σ = 296265537792000. Its totient is φ = 45839635344000.

The previous prime is 121010220122153. The next prime is 121010220122227. The reversal of 121010220122200 is 2221022010121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4476225 + ... + 16188175.

It is an arithmetic number, because the mean of its divisors is an integer number (3086099352000).

Almost surely, 2121010220122200 is an apocalyptic number.

121010220122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121010220122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148132768896000).

121010220122200 is an abundant number, since it is smaller than the sum of its proper divisors (175255317669800).

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

121010220122200 is a wasteful number, since it uses less digits than its factorization.

121010220122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11714705 (or 11714696 counting only the distinct ones).

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

Adding to 121010220122200 its reverse (2221022010121), we get a palindrome (123231242132321).

The spelling of 121010220122200 in words is "one hundred twenty-one trillion, ten billion, two hundred twenty million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 2719 3800 5438 10876 13595 21752 27190 51661 54380 67975 103322 108760 135950 206644 258305 271900 413288 516610 543800 1033220 1291525 2066440 2583050 5166100 10332200 11711951 23423902 46847804 58559755 93695608 117119510 222527069 234239020 292798775 445054138 468478040 585597550 890108276 1112635345 1171195100 1780216552 2225270690 2342390200 4450541380 5563176725 8901082760 11126353450 22252706900 31844794769 44505413800 63689589538 127379179076 159223973845 254758358152 318447947690 605051100611 636895895380 796119869225 1210102201222 1273791790760 1592239738450 2420204402444 3025255503055 3184479476900 4840408804888 6050511006110 6368958953800 12101022012220 15126277515275 24202044024440 30252555030550 60505110061100 121010220122200