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1121221222002 = 23375775938669
BaseRepresentation
bin10000010100001101111…
…111100001111001110010
310222012001211112112122000
4100110031333201321302
5121332230113101002
62215025405554430
7144001623065310
oct20241577417162
93865054475560
101121221222002
113a25641711a2
12161372875a16
1381966497a7b
143c3a5a450b0
151e273a4a61c
hex1050dfe1e72

1121221222002 has 128 divisors (see below), whose sum is σ = 2857620902400. Its totient is φ = 319217614848.

The previous prime is 1121221222001. The next prime is 1121221222003. The reversal of 1121221222002 is 2002221221211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1121221222001) and next prime (1121221222003).

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 (1121221222001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129332524 + ... + 129341192.

It is an arithmetic number, because the mean of its divisors is an integer number (22325163300).

Almost surely, 21121221222002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121221222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428810451200).

1121221222002 is an abundant number, since it is smaller than the sum of its proper divisors (1736399680398).

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

1121221222002 is a wasteful number, since it uses less digits than its factorization.

1121221222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9857 (or 9851 counting only the distinct ones).

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

Adding to 1121221222002 its reverse (2002221221211), we get a palindrome (3123442443213).

The spelling of 1121221222002 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 577 593 1154 1186 1731 1779 3462 3558 4039 4151 5193 5337 8078 8302 8669 10386 10674 12117 12453 15579 16011 17338 24234 24906 26007 31158 32022 36351 37359 52014 60683 72702 74718 78021 109053 112077 121366 156042 182049 218106 224154 234063 342161 364098 468126 546147 684322 1026483 1092294 1638441 2052966 2395127 3079449 3276882 4790254 5002013 5140717 6158898 7185381 9238347 10004026 10281434 14370762 15006039 15422151 18476694 21556143 30012078 30844302 35014091 35985019 43112286 45018117 46266453 64668429 70028182 71970038 90036234 92532906 105042273 107955057 129336858 135054351 138799359 210084546 215910114 270108702 277598718 315126819 323865171 630253638 647730342 945380457 971595513 1890760914 1943191026 2966193709 5932387418 8898581127 17797162254 20763355963 26695743381 41526711926 53391486762 62290067889 80087230143 124580135778 160174460286 186870203667 373740407334 560610611001 1121221222002