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1122221222001 = 331112037313909
BaseRepresentation
bin10000010101001001100…
…110001110100001110001
310222021122112012210202000
4100111021212032201301
5121341302113101001
62215312531244213
7144035454666225
oct20251146164161
93867575183660
101122221222001
113a2a27694a80
121615b1749669
1381a95704c49
143c45c792785
151e2d172ba86
hex1054998e871

1122221222001 has 32 divisors (see below), whose sum is σ = 1813847318400. Its totient is φ = 680075403840.

The previous prime is 1122221221973. The next prime is 1122221222099. The reversal of 1122221222001 is 1002221222211.

It is a happy number.

1122221222001 is a `hidden beast` number, since 11 + 222 + 212 + 220 + 0 + 1 = 666.

It is not a de Polignac number, because 1122221222001 - 29 = 1122221221489 is a prime.

It is a super-2 number, since 2×11222212220012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122221222201) 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 31 ways as a sum of consecutive naturals, for example, 3418035 + ... + 3731943.

It is an arithmetic number, because the mean of its divisors is an integer number (56682728700).

Almost surely, 21122221222001 is an apocalyptic number.

1122221222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122221222001 is a deficient number, since it is larger than the sum of its proper divisors (691626096399).

1122221222001 is a wasteful number, since it uses less digits than its factorization.

1122221222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325966 (or 325960 counting only the distinct ones).

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

Adding to 1122221222001 its reverse (1002221222211), we get a palindrome (2124442444212).

The spelling of 1122221222001 in words is "one trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred twenty-two thousand, one".

Divisors: 1 3 9 11 27 33 99 297 12037 36111 108333 132407 313909 324999 397221 941727 1191663 2825181 3452999 3574989 8475543 10358997 31076991 93230973 3778522633 11335567899 34006703697 41563748963 102020111091 124691246889 374073740667 1122221222001