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1012212221220 = 2232537151983817
BaseRepresentation
bin11101011101011001000…
…11001100010100100100
310120202200210212112121200
432232230203030110210
5113041002312034340
62053000500442500
7133062363630354
oct16565443142444
93522623775550
101012212221220
11360305457502
1214420b9a9430
13745b33a6245
1436dc4308b64
151b4e3957330
hexebac8cc524

1012212221220 has 72 divisors (see below), whose sum is σ = 3153360255864. Its totient is φ = 262628034048.

The previous prime is 1012212221191. The next prime is 1012212221221. The reversal of 1012212221220 is 221222122101.

It is a happy number.

1012212221220 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 2 + 221 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 149286413376 + 862925807844 = 386376^2 + 928938^2 .

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 = 1012212221193 and 1012212221202.

It is not an unprimeable number, because it can be changed into a prime (1012212221221) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 75985249 + ... + 75998568.

Almost surely, 21012212221220 is an apocalyptic number.

1012212221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012212221220 is an abundant number, since it is smaller than the sum of its proper divisors (2141148034644).

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

1012212221220 is a wasteful number, since it uses less digits than its factorization.

1012212221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151983869 (or 151983864 counting only the distinct ones).

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

Adding to 1012212221220 its reverse (221222122101), we get a palindrome (1233434343321).

The spelling of 1012212221220 in words is "one trillion, twelve billion, two hundred twelve million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 151983817 303967634 455951451 607935268 759919085 911902902 1367854353 1519838170 1823805804 2279757255 2735708706 3039676340 4559514510 5471417412 5623401229 6839271765 9119029020 11246802458 13678543530 16870203687 22493604916 27357087060 28117006145 33740407374 50610611061 56234012290 67480814748 84351018435 101221222122 112468024580 168702036870 202442444244 253053055305 337404073740 506106110610 1012212221220