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1221140120 = 235291052707
BaseRepresentation
bin100100011001001…
…0001111010011000
310011002210100022212
41020302101322120
510000102440440
6321101134252
742155343164
oct11062217230
93132710285
101221140120
11577335712
122a0b5a388
13165cb6825
14b8273ca4
1572314465
hex48c91e98

1221140120 has 32 divisors (see below), whose sum is σ = 2842311600. Its totient is φ = 471612288.

The previous prime is 1221140099. The next prime is 1221140153. The reversal of 1221140120 is 210411221.

It is a happy number.

It is a super-2 number, since 2×12211401202 = 2982366385347228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221140095 and 1221140104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525194 + ... + 527513.

Almost surely, 21221140120 is an apocalyptic number.

1221140120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221140120 is an abundant number, since it is smaller than the sum of its proper divisors (1621171480).

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

1221140120 is a wasteful number, since it uses less digits than its factorization.

1221140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052747 (or 1052743 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1221140120 is about 34944.8153522093. The cubic root of 1221140120 is about 1068.8624822848.

Adding to 1221140120 its reverse (210411221), we get a palindrome (1431551341).

The spelling of 1221140120 in words is "one billion, two hundred twenty-one million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1052707 2105414 4210828 5263535 8421656 10527070 21054140 30528503 42108280 61057006 122114012 152642515 244228024 305285030 610570060 1221140120