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1221020122122 = 2331710391280161
BaseRepresentation
bin10001110001001010011…
…110000111110000001010
311022201122222202221201000
4101301022132013300022
5130001122122401442
62332532350435430
7154134005535633
oct21611236076012
94281588687630
101221020122122
11430917032a49
12178785202b76
138b1ac4266a8
14431520b888a
1521b652aed4c
hex11c4a787c0a

1221020122122 has 64 divisors (see below), whose sum is σ = 2875755916800. Its totient is φ = 382696151040.

The previous prime is 1221020122097. The next prime is 1221020122123. The reversal of 1221020122122 is 2212210201221.

It is a happy number.

1221020122122 is a `hidden beast` number, since 1 + 221 + 0 + 201 + 221 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1221020122095 and 1221020122104.

It is not an unprimeable number, because it can be changed into a prime (1221020122123) 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, 313722 + ... + 1593882.

It is an arithmetic number, because the mean of its divisors is an integer number (44933686200).

Almost surely, 21221020122122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221020122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437877958400).

1221020122122 is an abundant number, since it is smaller than the sum of its proper divisors (1654735794678).

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

1221020122122 is a wasteful number, since it uses less digits than its factorization.

1221020122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281228 (or 1281222 counting only the distinct ones).

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

Adding to 1221020122122 its reverse (2212210201221), we get a palindrome (3433230323343).

It can be divided in two parts, 12210201221 and 22, that multiplied together give a palindrome (268624426862).

The spelling of 1221020122122 in words is "one trillion, two hundred twenty-one billion, twenty million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 1039 2078 3117 6234 9351 17663 18702 28053 35326 52989 56106 105978 158967 317934 476901 953802 1280161 2560322 3840483 7680966 11521449 21762737 23042898 34564347 43525474 65288211 69128694 130576422 195864633 391729266 587593899 1175187798 1330087279 2660174558 3990261837 7980523674 11970785511 22611483743 23941571022 35912356533 45222967486 67834451229 71824713066 135668902458 203503353687 407006707374 610510061061 1221020122122