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1221201121122 = 2321737107860901
BaseRepresentation
bin10001110001010101010…
…000100100111101100010
311022202010121100122122200
4101301111100210331202
5130002004441333442
62333002334114030
7154141334154543
oct21612520447542
94282117318580
101221201121122
114309aa2181a4
1217881594b916
138b20aa8a1a8
144316c1524ca
1521b7611434c
hex11c55424f62

1221201121122 has 48 divisors (see below), whose sum is σ = 2877297421752. Its totient is φ = 372767270400.

The previous prime is 1221201121099. The next prime is 1221201121187. The reversal of 1221201121122 is 2211211021221.

1221201121122 is a `hidden beast` number, since 1 + 221 + 201 + 121 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1213476293241 + 7724827881 = 1101579^2 + 87891^2 .

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 = 1221201121095 and 1221201121104.

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, 53919129 + ... + 53941772.

Almost surely, 21221201121122 is an apocalyptic number.

1221201121122 is an abundant number, since it is smaller than the sum of its proper divisors (1656096300630).

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

1221201121122 is a wasteful number, since it uses less digits than its factorization.

1221201121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107860963 (or 107860960 counting only the distinct ones).

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

Adding to 1221201121122 its reverse (2211211021221), we get a palindrome (3432412142343).

Subtracting 1221201121122 from its reverse (2211211021221), we obtain a palindrome (990009900099).

The spelling of 1221201121122 in words is "one trillion, two hundred twenty-one billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1887 3774 5661 11322 107860901 215721802 323582703 647165406 970748109 1833635317 1941496218 3667270634 3990853337 5500905951 7981706674 11001811902 11972560011 16502717853 23945120022 33005435706 35917680033 67844506729 71835360066 135689013458 203533520187 407067040374 610600560561 1221201121122