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1220400220122 = 23296157705097
BaseRepresentation
bin10001110000100101100…
…001011000011111011010
311022200001210022200000200
4101300211201120133122
5124443334424020442
62332351044043030
7154112440466316
oct21604541303732
94280053280020
101220400220122
11430629121446
12178631693476
138b110b80185
14430d3a30b46
1521b2ab6034c
hex11c258587da

1220400220122 has 24 divisors (see below), whose sum is σ = 2644231725876. Its totient is φ = 406795265856.

The previous prime is 1220400220079. The next prime is 1220400220133. The reversal of 1220400220122 is 2210220040221.

1220400220122 is a `hidden beast` number, since 1 + 2 + 20 + 400 + 220 + 1 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1216783280241 + 3616939881 = 1103079^2 + 60141^2 .

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 = 1220400220095 and 1220400220104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1378278 + ... + 2083374.

Almost surely, 21220400220122 is an apocalyptic number.

1220400220122 is an abundant number, since it is smaller than the sum of its proper divisors (1423831505754).

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

1220400220122 is a wasteful number, since it uses less digits than its factorization.

1220400220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801262 (or 801259 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1220400220122 its reverse (2210220040221), we get a palindrome (3430620260343).

The spelling of 1220400220122 in words is "one trillion, two hundred twenty billion, four hundred million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 96157 192314 288471 576942 705097 865413 1410194 1730826 2115291 4230582 6345873 12691746 67800012229 135600024458 203400036687 406800073374 610200110061 1220400220122