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122111022002220 = 22325678394566679
BaseRepresentation
bin11011110000111100110000…
…000101101111000000101100
3121000100200220002002221202200
4123300330300011233000230
5112001131333113032340
61111413010140421500
734502141650142046
oct3360746005570054
9530320802087680
10122111022002220
11359a9aa2546539
1211841b26247890
13531a034b2c984
1422222c273aa96
15e1b5c4306330
hex6f0f3016f02c

122111022002220 has 36 divisors (see below), whose sum is σ = 370403433407280. Its totient is φ = 32562939200544.

The previous prime is 122111022002173. The next prime is 122111022002227. The reversal of 122111022002220 is 22200220111221.

It is a happy number.

122111022002220 is a `hidden beast` number, since 1 + 2 + 211 + 10 + 220 + 0 + 2 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1221110220022202 (a number of 29 digits) contains 22 as substring.

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 = 122111022002193 and 122111022002202.

It is not an unprimeable number, because it can be changed into a prime (122111022002227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339197283160 + ... + 339197283519.

Almost surely, 2122111022002220 is an apocalyptic number.

122111022002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111022002220 is an abundant number, since it is smaller than the sum of its proper divisors (248292411405060).

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

122111022002220 is a wasteful number, since it uses less digits than its factorization.

122111022002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678394566694 (or 678394566689 counting only the distinct ones).

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

Adding to 122111022002220 its reverse (22200220111221), we get a palindrome (144311242113441).

The spelling of 122111022002220 in words is "one hundred twenty-two trillion, one hundred eleven billion, twenty-two million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 678394566679 1356789133358 2035183700037 2713578266716 3391972833395 4070367400074 6105551100111 6783945666790 8140734800148 10175918500185 12211102200222 13567891333580 20351837000370 24422204400444 30527755500555 40703674000740 61055511001110 122111022002220