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1222121200122 = 2323747229317027
BaseRepresentation
bin10001110010001100000…
…110011001100111111010
311022211111201122111202200
4101302030012121213322
5130010401011400442
62333233522411030
7154203205541604
oct21621406314772
94284451574680
101222121200122
11431331614169
12178a31b00a76
138b326593c34
1443218418174
1521bcbcaa34c
hex11c8c1999fa

1222121200122 has 96 divisors (see below), whose sum is σ = 2778730935552. Its totient is φ = 387738410112.

The previous prime is 1222121200117. The next prime is 1222121200127. The reversal of 1222121200122 is 2210021212221.

It is a happy number.

1222121200122 is a `hidden beast` number, since 1 + 222 + 121 + 200 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (1222121200117) and next prime (1222121200127).

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 = 1222121200095 and 1222121200104.

It is not an unprimeable number, because it can be changed into a prime (1222121200127) 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, 71766973 + ... + 71783999.

It is an arithmetic number, because the mean of its divisors is an integer number (28945113912).

Almost surely, 21222121200122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222121200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389365467776).

1222121200122 is an abundant number, since it is smaller than the sum of its proper divisors (1556609735430).

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

1222121200122 is a wasteful number, since it uses less digits than its factorization.

1222121200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19412 (or 19409 counting only the distinct ones).

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

Adding to 1222121200122 its reverse (2210021212221), we get a palindrome (3432142412343).

The spelling of 1222121200122 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 47 74 94 111 141 222 282 333 423 666 846 1739 2293 3478 4586 5217 6879 10434 13758 15651 17027 20637 31302 34054 41274 51081 84841 102162 107771 153243 169682 215542 254523 306486 323313 509046 629999 646626 763569 800269 969939 1259998 1527138 1600538 1889997 1939878 2400807 3779994 3987527 4801614 5669991 7202421 7975054 11339982 11962581 14404842 23925162 29609953 35887743 39042911 59219906 71775486 78085822 88829859 117128733 177659718 234257466 266489577 351386199 532979154 702772398 1444587707 1835016817 2889175414 3670033634 4333763121 5505050451 8667526242 11010100902 13001289363 16515151353 26002578726 33030302706 67895622229 135791244458 203686866687 407373733374 611060600061 1222121200122