Search a number
-
+
122111021000220 = 22357290740526191
BaseRepresentation
bin11011110000111100110000…
…000001111010011000011100
3121000100200220000020001021120
4123300330300001322120130
5112001131332334001340
61111413010103130540
734502141635466550
oct3360746001723034
9530320800201246
10122111021000220
11359a9aa1a2173a
1211841b25a43a50
13531a03486b885
1422222c2559860
15e1b5c41a94d0
hex6f0f3007a61c

122111021000220 has 48 divisors (see below), whose sum is σ = 390755267202048. Its totient is φ = 27911090514240.

The previous prime is 122111021000207. The next prime is 122111021000263. The reversal of 122111021000220 is 22000120111221.

It is a super-2 number, since 2×1221110210002202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122111021000220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145370262676 + ... + 145370263515.

It is an arithmetic number, because the mean of its divisors is an integer number (8140734733376).

Almost surely, 2122111021000220 is an apocalyptic number.

122111021000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111021000220 is an abundant number, since it is smaller than the sum of its proper divisors (268644246201828).

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

122111021000220 is a wasteful number, since it uses less digits than its factorization.

122111021000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290740526210 (or 290740526208 counting only the distinct ones).

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

Adding to 122111021000220 its reverse (22000120111221), we get a palindrome (144111141111441).

The spelling of 122111021000220 in words is "one hundred twenty-two trillion, one hundred eleven billion, twenty-one million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 290740526191 581481052382 872221578573 1162962104764 1453702630955 1744443157146 2035183683337 2907405261910 3488886314292 4070367366674 4361107892865 5814810523820 6105551050011 8140734733348 8722215785730 10175918416685 12211102100022 17444431571460 20351836833370 24422204200044 30527755250055 40703673666740 61055510500110 122111021000220