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121122040 = 235131631429
BaseRepresentation
bin1110011100000…
…10110011111000
322102220122012111
413032002303320
5222001401130
620004022104
73000343324
oct716026370
9272818174
10121122040
1162408866
1234691934
131c12a860
141212c984
15a97802a
hex7382cf8

121122040 has 64 divisors (see below), whose sum is σ = 295495200. Its totient is φ = 44416512.

The previous prime is 121122037. The next prime is 121122041. The reversal of 121122040 is 40221121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 121122040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84046 + ... + 85474.

Almost surely, 2121122040 is an apocalyptic number.

121122040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147747600).

121122040 is an abundant number, since it is smaller than the sum of its proper divisors (174373160).

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

121122040 is a wasteful number, since it uses less digits than its factorization.

121122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 121122040 is about 11005.5458746943. The cubic root of 121122040 is about 494.7749750932.

Adding to 121122040 its reverse (40221121), we get a palindrome (161343161).

The spelling of 121122040 in words is "one hundred twenty-one million, one hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 163 260 326 520 652 815 1304 1429 1630 2119 2858 3260 4238 5716 6520 7145 8476 10595 11432 14290 16952 18577 21190 28580 37154 42380 57160 74308 84760 92885 148616 185770 232927 371540 465854 743080 931708 1164635 1863416 2329270 3028051 4658540 6056102 9317080 12112204 15140255 24224408 30280510 60561020 121122040