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1002121222212 = 2232112230055377
BaseRepresentation
bin11101001010100110001…
…01000101100001000100
310112210122112212200022200
432211103011011201010
5112404321013102322
62044211303354500
7132254332562235
oct16452305054104
93483575780280
101002121222212
11356aa7339600
12142274452a30
13736658a7206
143670805908c
151b102ac18ac
hexe953145844

1002121222212 has 54 divisors (see below), whose sum is σ = 2784360239934. Its totient is φ = 303673096320.

The previous prime is 1002121222187. The next prime is 1002121222231. The reversal of 1002121222212 is 2122221212001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 859151025216 + 142970196996 = 926904^2 + 378114^2 .

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 17 ways as a sum of consecutive naturals, for example, 115023333 + ... + 115032044.

Almost surely, 21002121222212 is an apocalyptic number.

1002121222212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002121222212 is an abundant number, since it is smaller than the sum of its proper divisors (1782239017722).

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

1002121222212 is a wasteful number, since it uses less digits than its factorization.

1002121222212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230055409 (or 230055393 counting only the distinct ones).

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

Adding to 1002121222212 its reverse (2122221212001), we get a palindrome (3124342434213).

The spelling of 1002121222212 in words is "one trillion, two billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 230055377 460110754 690166131 920221508 1380332262 2070498393 2530609147 2760664524 4140996786 5061218294 7591827441 8281993572 10122436588 15183654882 22775482323 27836700617 30367309764 45550964646 55673401234 83510101851 91101929292 111346802468 167020203702 250530305553 334040407404 501060611106 1002121222212