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1121022122112 = 2733324369827
BaseRepresentation
bin10000010100000010001…
…000000001100010000000
310222011112221220012221000
4100110002020001202000
5121331323130401422
62214553534332000
7143663654550204
oct20240210014200
93864487805830
101121022122112
113a2471843532
1216131805a000
1381934167399
143c387418b04
151e26131ccac
hex10502201880

1121022122112 has 64 divisors (see below), whose sum is σ = 3308572245600. Its totient is φ = 373674039552.

The previous prime is 1121022122093. The next prime is 1121022122149. The reversal of 1121022122112 is 2112212201211.

1121022122112 is a `hidden beast` number, since 1 + 1 + 210 + 221 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×11210221221123 (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162181458 + ... + 162188369.

Almost surely, 21121022122112 is an apocalyptic number.

1121022122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1121022122112 is an abundant number, since it is smaller than the sum of its proper divisors (2187550123488).

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

1121022122112 is an equidigital number, since it uses as much as digits as its factorization.

1121022122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324369850 (or 324369832 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1121022122112 its reverse (2112212201211), we get a palindrome (3233234323323).

The spelling of 1121022122112 in words is "one trillion, one hundred twenty-one billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 324369827 648739654 973109481 1297479308 1946218962 2594958616 2919328443 3892437924 5189917232 5838656886 7784875848 8757985329 10379834464 11677313772 15569751696 17515970658 20759668928 23354627544 31139503392 35031941316 41519337856 46709255088 62279006784 70063882632 93418510176 124558013568 140127765264 186837020352 280255530528 373674040704 560511061056 1121022122112