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1022121001122 = 2313113953912157
BaseRepresentation
bin11101101111110110010…
…10001100000010100010
310121201021100222201021220
432313323022030002202
5113221300434013442
62101320024155510
7133563053105454
oct16677312140242
93551240881256
101022121001122
1136452a727501
12146116308b96
1375502205310
14376842c42d4
151b8c37e6eec
hexedfb28c0a2

1022121001122 has 64 divisors (see below), whose sum is σ = 2221389152640. Its totient is φ = 311657278464.

The previous prime is 1022121001103. The next prime is 1022121001129. The reversal of 1022121001122 is 2211001212201.

1022121001122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1022121001129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84070668 + ... + 84082824.

It is an arithmetic number, because the mean of its divisors is an integer number (34709205510).

Almost surely, 21022121001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022121001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110694576320).

1022121001122 is an abundant number, since it is smaller than the sum of its proper divisors (1199268151518).

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

1022121001122 is a wasteful number, since it uses less digits than its factorization.

1022121001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21827.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1022121001122 its reverse (2211001212201), we get a palindrome (3233122213323).

The spelling of 1022121001122 in words is "one trillion, twenty-two billion, one hundred twenty-one million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 113 226 339 678 1469 2938 4407 8814 9539 12157 19078 24314 28617 36471 57234 72942 124007 158041 248014 316082 372021 474123 744042 948246 1077907 1373741 2155814 2747482 3233721 4121223 6467442 8242446 14012791 17858633 28025582 35717266 42038373 53575899 84076746 107151798 115965623 231931246 347896869 695793738 1507553099 3015106198 4522659297 9045318594 13104115399 26208230798 39312346197 78624692394 170353500187 340707000374 511060500561 1022121001122