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122040120 = 23352935069
BaseRepresentation
bin1110100011000…
…10111100111000
322111122021120110
413101202330320
5222220240440
620035424320
73011216046
oct721427470
9274567513
10122040120
1162985604
1234a550a0
131c38c6b7
14122cb396
15aaaa080
hex7462f38

122040120 has 64 divisors (see below), whose sum is σ = 378756000. Its totient is φ = 31420928.

The previous prime is 122040119. The next prime is 122040131. The reversal of 122040120 is 21040221.

It is a super-2 number, since 2×1220401202 = 29787581779228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122040096 and 122040105.

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, 14055 + ... + 21014.

Almost surely, 2122040120 is an apocalyptic number.

122040120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122040120 is an abundant number, since it is smaller than the sum of its proper divisors (256715880).

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

122040120 is a wasteful number, since it uses less digits than its factorization.

122040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35112 (or 35108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 122040120 is about 11047.1770149663. The cubic root of 122040120 is about 496.0219271437.

Adding to 122040120 its reverse (21040221), we get a palindrome (143080341).

The spelling of 122040120 in words is "one hundred twenty-two million, forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 35069 70138 105207 140276 175345 210414 280552 350690 420828 526035 701380 841656 1017001 1052070 1402760 2034002 2104140 3051003 4068004 4208280 5085005 6102006 8136008 10170010 12204012 15255015 20340020 24408024 30510030 40680040 61020060 122040120