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1120010121612 = 223423352942589
BaseRepresentation
bin10000010011000101110…
…011100011000110001100
310222001221102122021020000
4100103011303203012030
5121322240042342422
62214305303524300
7143626615645344
oct20230563430614
93861842567200
101120010121612
113a1aa2573588
12161095159690
13818025b7c15
143c2ccc65d24
151e20256acac
hex104c5ce318c

1120010121612 has 120 divisors (see below), whose sum is σ = 3056166405600. Its totient is φ = 356995102464.

The previous prime is 1120010121611. The next prime is 1120010121613. The reversal of 1120010121612 is 2161210100211.

1120010121612 is a `hidden beast` number, since 1 + 1 + 20 + 0 + 10 + 1 + 21 + 612 = 666.

It is an interprime number because it is at equal distance from previous prime (1120010121611) and next prime (1120010121613).

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

It is not an unprimeable number, because it can be changed into a prime (1120010121611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26276814 + ... + 26319402.

It is an arithmetic number, because the mean of its divisors is an integer number (25468053380).

Almost surely, 21120010121612 is an apocalyptic number.

1120010121612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120010121612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528083202800).

1120010121612 is an abundant number, since it is smaller than the sum of its proper divisors (1936156283988).

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

1120010121612 is a wasteful number, since it uses less digits than its factorization.

1120010121612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46157 (or 46146 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1120010121612 its reverse (2161210100211), we get a palindrome (3281220221823).

The spelling of 1120010121612 in words is "one trillion, one hundred twenty billion, ten million, one hundred twenty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 828 1242 1863 2484 3529 3726 7058 7452 10587 14116 21174 31761 42348 42589 63522 81167 85178 95283 127044 127767 162334 170356 190566 243501 255534 285849 324668 381132 383301 487002 511068 571698 730503 766602 974004 979547 1143396 1149903 1461006 1533204 1959094 2191509 2299806 2922012 2938641 3449709 3918188 4383018 4599612 5877282 6574527 6899418 8766036 8815923 11754564 13149054 13798836 17631846 26298108 26447769 35263692 52895538 79343307 105791076 150296581 158686614 300593162 317373228 450889743 601186324 901779486 1352669229 1803558972 2705338458 3456821363 4058007687 5410676916 6913642726 8116015374 10370464089 12174023061 13827285452 16232030748 20740928178 24348046122 31111392267 41481856356 48696092244 62222784534 93334176801 124445569068 186668353602 280002530403 373336707204 560005060806 1120010121612