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121002120111222 = 23272472129059651
BaseRepresentation
bin11011100000110100000000…
…011000101110010001110110
3120212102200121210120021021100
4123200310000120232101312
5111324444320222024342
61105203335004430530
734326054223451400
oct3340640030562166
9525380553507240
10121002120111222
1135611790314039
12116a3031248446
1352695b2a0529c
1421c4768cb9b70
15dec8220a7e4c
hex6e0d0062e476

121002120111222 has 72 divisors (see below), whose sum is σ = 305039341401912. Its totient is φ = 34564710096000.

The previous prime is 121002120111193. The next prime is 121002120111253. The reversal of 121002120111222 is 222111021200121.

121002120111222 is a `hidden beast` number, since 1 + 210 + 0 + 2 + 120 + 111 + 222 = 666.

121002120111222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121002120111195 and 121002120111204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10365904 + ... + 18693747.

It is an arithmetic number, because the mean of its divisors is an integer number (4236657519471).

Almost surely, 2121002120111222 is an apocalyptic number.

121002120111222 is an abundant number, since it is smaller than the sum of its proper divisors (184037221290690).

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

121002120111222 is a wasteful number, since it uses less digits than its factorization.

121002120111222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29064394 (or 29064384 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121002120111222 its reverse (222111021200121), we get a palindrome (343113141311343).

The spelling of 121002120111222 in words is "one hundred twenty-one trillion, two billion, one hundred twenty million, one hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 4721 9442 14163 28326 33047 42489 66094 84978 99141 198282 231329 297423 462658 594846 693987 1387974 2081961 4163922 29059651 58119302 87178953 174357906 203417557 261536859 406835114 523073718 610252671 1220505342 1423922899 1830758013 2847845798 3661516026 4271768697 8543537394 12815306091 25630612182 137190612371 274381224742 411571837113 823143674226 960334286597 1234715511339 1920668573194 2469431022678 2881002859791 5762005719582 6722340006179 8643008579373 13444680012358 17286017158746 20167020018537 40334040037074 60501060055611 121002120111222