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1201220122122 = 2323717399710457
BaseRepresentation
bin10001011110101110010…
…011000111011000001010
311020211120002120201212200
4101132232103013120022
5124140044322401442
62315455524021030
7152533232366256
oct21365623073012
94224502521780
101201220122122
11423486496989
1217497a231776
1389375306067
14421d45b5266
15213a6d9d34c
hex117ae4c760a

1201220122122 has 96 divisors (see below), whose sum is σ = 2691389976912. Its totient is φ = 386907466752.

The previous prime is 1201220122097. The next prime is 1201220122127. The reversal of 1201220122122 is 2212210221021.

It is a happy number.

1201220122122 is a `hidden beast` number, since 1 + 201 + 220 + 1 + 221 + 22 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1184203180521 + 17016941601 = 1088211^2 + 130449^2 .

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 = 1201220122095 and 1201220122104.

It is not an unprimeable number, because it can be changed into a prime (1201220122127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114867118 + ... + 114877574.

Almost surely, 21201220122122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201220122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345694988456).

1201220122122 is an abundant number, since it is smaller than the sum of its proper divisors (1490169854790).

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

1201220122122 is a wasteful number, since it uses less digits than its factorization.

1201220122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11672 (or 11669 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1201220122122 its reverse (2212210221021), we get a palindrome (3413430343143).

The spelling of 1201220122122 in words is "one trillion, two hundred one billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 173 222 333 346 519 666 997 1038 1557 1994 2991 3114 5982 6401 8973 10457 12802 17946 19203 20914 31371 36889 38406 57609 62742 73778 94113 110667 115218 172481 188226 221334 332001 344962 386909 517443 664002 773818 1034886 1160727 1552329 1809061 2321454 3104658 3482181 3618122 5427183 6381797 6964362 10425629 10854366 12763594 16281549 19145391 20851258 31276887 32563098 38290782 57436173 62553774 66935257 93830661 114872346 133870514 187661322 200805771 385748273 401611542 602417313 771496546 1157244819 1204834626 1803633817 2314489638 3471734457 3607267634 5410901451 6943468914 10821802902 16232704353 32465408706 66734451229 133468902458 200203353687 400406707374 600610061061 1201220122122