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1220105412 = 2232130725931
BaseRepresentation
bin100100010111001…
…0101010011000100
310011000211202222100
41020232111103010
54444321333122
6321023032100
742143503431
oct11056252304
93130752870
101220105412
11576799289
122a073b630
13165a13886
14b8084b88
15721acaac
hex48b954c4

1220105412 has 36 divisors (see below), whose sum is σ = 3086634096. Its totient is φ = 406374960.

The previous prime is 1220105363. The next prime is 1220105431. The reversal of 1220105412 is 2145010221.

1220105412 is a `hidden beast` number, since 122 + 0 + 1 + 0 + 541 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 34087 + ... + 60017.

It is an arithmetic number, because the mean of its divisors is an integer number (85739836).

Almost surely, 21220105412 is an apocalyptic number.

1220105412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1220105412 is an abundant number, since it is smaller than the sum of its proper divisors (1866528684).

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

1220105412 is a wasteful number, since it uses less digits than its factorization.

1220105412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27248 (or 27243 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1220105412 is about 34930.0073289428. The cubic root of 1220105412 is about 1068.5605040866.

Adding to 1220105412 its reverse (2145010221), we get a palindrome (3365115633).

The spelling of 1220105412 in words is "one billion, two hundred twenty million, one hundred five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1307 2614 3921 5228 7842 11763 15684 23526 25931 47052 51862 77793 103724 155586 233379 311172 466758 933516 33891817 67783634 101675451 135567268 203350902 305026353 406701804 610052706 1220105412